Persons: Pliev, Marat Amurkhanovich

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Pliev, Marat Amurkhanovich

Total publications:	90 (88)
in MathSciNet:	29 (29)
in zbMATH:	55 (55)
in Web of Science:	10 (10)
in Scopus:	15 (15)
Cited articles:	54
Citations:	544

Number of views:
This page:	1577
Abstract pages:	10134
Full texts:	4026

Head Scientist Researcher

Candidate of physico-mathematical sciences (2004)

Speciality:

01.01.01 (Real analysis, complex analysis, and functional analysis)

E-mail:

Keywords:

Orthogonally additive operators, nonlinear integral opeartors, narrow operators, vector lattices, C*-algebras, completely positive maps

UDC:

517.98, 519.46

Subject:

Orthogonally additive operators in vector lattices and lattice-normed spaces, completely positive maps in C*-algebras

Main publications:

M. Pliev, F. Sukochev, “Orthogonally additive operators on complex vector lattices”, Journal of Mathematical Analysis and Applications, 541:2 (2025), 128719
K. Kudaybergenov, M. Pliev, F. Sukochev, “Fragments of orthogonally additive operators and the nonlinear Dodds-Fremlin’s theorem”, Journal of Mathematical Analysis and Applications, 550:2 (2025), 129551
N. Dzhusoeva, E. Grishenko, M. Pliev, F. Sukochev, “Narrow operators on C-complete lattice-normed spaces”, Nonlinear Analysis, 243 (2024), 113524
M. Pliev, F. Sukochev, “Narrow operators on tensor products of Köthe spaces”, Journal of Mathematical Analysis and Applications, 522:1 (2023), 126950
N. Dzhusoeva, M. S. Moslehian, M. Pliev, M. Popov, “Operators taking values in Lebesgue-Bochner spaces”, Proceedings of the American Mathematical Society, 151:8 (2023), 3493–3502
N. Dzhusoeva, J. Huang, M. Pliev, F. Sukochev, “Lateral order on complex vector lattices and narrow operators”, Mathematische Nachrichten, 296:11 (2023), 5157–5170
M. Pliev, M. Popov, “Representation theorems for regular operators”, Mathematische Nachrichten, 297:1 (2024), 126–143
M. Pliev, “On C-compact orthogonally additive operators”, Journal of Mathematical Analysis and Applications, 494:1 (2021), 124594
E. Basaeva, R. Kulaev, M. Pliev, “On orthogonally additive operators in Kothe-Bochner spaces”, Results in Mathematics, 76:1 (2021), 20
M. Pliev, F. Sukochev, “The Kalton and Rosenthal type decomposition of operators in Kothe-Bochner spaces”, Journal of Mathematical Analysis and Applications, 500:2 (2021), 125142
R. Chill, M. Pliev, “Atomic operators in vector lattices”, Mediterranean Journal of Mathematics, 17 (2020), 138
M. Pliev, K. Ramdane, “Order unbounded orthogonally additive operators in vector lattices”, Mediterranean Journal of Mathematics, 15:2 (2018), 55
M. Pliev, “Domination problem for narrow orthogonally additive operators”, Positivity, v.21, 1, (2017), pp. 23-33., 21:1 (2017), 23–33
N. Abasov, M. Pliev, “On extensions of some nonlinear maps in vector lattices”, Journal of Mathematical Analysis and Applications, 455:1 (2017), 516–527
M. Pliev, M. Popov, “Narrow orthogonally additive operators”, Positivity, 18:4 (2013), 641–667

https://www.mathnet.ru/eng/person51904

List of publications on Google Scholar

List of scientific publications:

scientific publications

by years

by types

by times cited

common list

		Citations (Crossref Cited-By Service + Math-Net.Ru)


2025
1.	M. Pliev, F. Sukochev, “Orthogonally additive operators on complex vector lattices”, Journal of Mathematical Analysis and Applications, 541:2 (2025), 128719
2.	K. Kudaybergenov, M. Pliev, F. Sukochev, “Fragments of orthogonally additive operators and the nonlinear Dodds-Fremlin’s theorem”, Journal of Mathematical Analysis and Applications, 550:2 (2025), 129551

2024
3.	M. Pliev, M. Popov, “Representation theorems for regular operators”, Mathematische Nachrichten, 297:1 (2024), 126–143	5 ^[x]
4.	N. M. Abasov, N. A. Dzhusoeva, M. A. Pliev, “Diffuse orthogonally additive operators”, Sb. Math., 215:1 (2024), 1–27
5.	N. Dzhusoeva, E. Grishenko, M. Pliev, F. Sukochev, “Narrow operators on C-complete lattice-normed spaces”, Nonlinear Analysis, 243 (2024), 113524	3 ^[x]
6.	J. Huang, Y. Nessipbayev, M. Pliev, F. Sukochev, “The Gelfand-Phillips and Dunford-Pettis type properties in bimodules of measurable operators”, Transactions of the American Mathematical Society, 377:9 (2024), 6097–6149	2 ^[x]
7.	M. Pliev, N. Abasov, N. Dzhusoeva, “The lateral order on Köthe–Bochner spaces and orthogonally additive operators”, Annals of Functional Analysis, 15:3 (2024), 60	3 ^[x]

2023
8.	S. Astashkin, J. Huang, M. Pliev, F. Sukochev, D. Zanin, “Optimal range of Haar martingale transforms and its applications”, International Mathematics Research Notices, 2023:24 (2023), 20827–20854	1 ^[x]
9.	J. Huang, M. Pliev, F. Sukochev, “A noncommutative Gretsky-Ostroy theorem and its applications”, Proceedings of the American Mathematical Society, 151:3 (2023), 1147–1155	4 ^[x]
10.	M. Pliev, F. Sukochev, “Narrow operators on tensor products of Köthe spaces”, Journal of Mathematical Analysis and Applications, 522:1 (2023), 126950	2 ^[x]
11.	N. Dzhusoeva, M. S. Moslehian, M. Pliev, M. Popov, “Operators taking values in Lebesgue-Bochner spaces”, Proceedings of the American Mathematical Society, 151:8 (2023), 3493–3502	2 ^[x]
12.	N. Dzhusoeva, J. Huang, M. Pliev, F. Sukochev, “Lateral order on complex vector lattices and narrow operators”, Mathematische Nachrichten, 296:11 (2023), 5157–5170	5 ^[x]
13.	J. Huang, M. Pliev, F. Sukochev, “A (Strongly-) Dunford-Pettis operators and narrow operators”, Integral Equations and Operator Theory, 95:4 (2023), 22	2 ^[x]
14.	V. Mykhaylyuk, M. Pliev, M. Popov, “The lateral order on Riesz spaces and orthogonally additive operators-ii”, Positivity, 28:1 (2023), 8	7 ^[x]
15.	M. A. Pliev, “Lateralnyi poryadok v vektornykh reshetkakh i ortogonalno additivnye operatory”, Matematicheskii forum (Itogi nauki. Yug Rossii), 15 (2023), 41

2024
16.	N. A. Dzhusoeva, S. Yu. Itarova, M. A. Pliev, “Order projections in OA_r (E,F)”, Journal of Mathematical Sciences, 282:3 (2024), 321–336

2022
17.	J. Huang, M. Pliev, F. Sukochev., “On Narrow Operators from Lp into Operator Ideals.”, Mediterranean Journal of Mathematics, 19:5 (2022), 1–17
18.	N. Erkursun Ozcan, M. Pliev, “On orthogonally additive operators in C-complete vector lattices”, Banach Journal of Mathematical Analysis, 16 (2022), 6	19 ^[x]
19.	O. Fotiy, I. Krasikova, M. Pliev, M. Popov, “Order continuity of orthogonally additive operators”, Results in Mathematics, 77 (2022), 5	15 ^[x]
20.	J. Huang, M. Pliev, F. Sukochev, “l2 strictly singular operators on the predual of a hyperfinite von Neumann algebra”, Proceedings of the American Mathematical Society, 150 (2022), 1623–1633	11 ^[x]
21.	J. Huang, M. Pliev, F. Sukochev, “(Non-)Dunford–Pettis operators on noncommutative symmetric spaces”, Journal of Functional Analysis, 282:11 (2022), 109443	1 ^[x]
22.	A. Talebi, M. S. Moslehian, M. Pliev, G. Sadeghi, “Band projections and decomposition of normal traces on von Neumann algebras”, Positivity, 26 (2022), 71	2 ^[x]
23.	M. Pliev, M. Popov, “Orthogonally Additive Operators on Vector Lattices”, Trends in Mathematics. Springer International Publishing, 2022, 321-351	2 ^[x]

2021
24.	M. Pliev, “On C-compact orthogonally additive operators”, Journal of Mathematical Analysis and Applications, 494:1 (2021), 124594	34 ^[x]
25.	E. Basaeva, R. Kulaev, M. Pliev, “On orthogonally additive operators in Kothe-Bochner spaces”, Results in Mathematics, 76:1 (2021), 20	7 ^[x]
26.	M. Pliev, F. Polat, “The Radon-Nikodým Theorem for Disjointness Preserving Orthogonally Additive Operators”, Operator Theory and Differential Equations, 2021, 155–161	4 ^[x]
27.	M. Pliev, F. Sukochev, “The Kalton and Rosenthal type decomposition of operators in Kothe-Bochner spaces”, Journal of Mathematical Analysis and Applications, 500:2 (2021), 125142	6 ^[x]
28.	V. Mykhaylyuk, M. Pliev, M. Popov, “The lateral order on Riesz spaces and orthogonally additive operators”, Positivity, 25:2 (2021), 291–327	38 ^[x]
29.	I. Krasikova, M. Pliev, M. Popov, “Measurable Riesz spaces”, Carpathian Mathematical Publications, 13:1 (2021), 81–88	5 ^[x]
30.	M. Pliev, “On compact orthogonally additive operators”, Lobachevskii Journal of Mathematics, 42:5 (2021), 989–995
31.	N. Dzhusoeva, R. Kulaev, M. Pliev, “Orthogonally biadditive operators”, Journal of Function Spaces, 2021, 2593884	1 ^[x]
32.	N. Dzhusoeva, R. Kulaev, M. Pliev, “On bilinear narrow operators”, Mathematics, 9:22 (2021), 2892
33.	O. Fotiy, I. Krasikova, M. Pliev, M. Popov, “On separate order continuity of orhtogonally additive operators”, Bukovinian Mathematival Journal, 9:1 (2021), 200-209
34.	M. A. Pliev, “Every lateral band is the kernel of an orthogonally additive operator”, Vladikavkazskii matematicheskii zhurnal, 23:4 (2021), 115–118

2020
35.	R. Chill, M. Pliev, “Atomic operators in vector lattices”, Mediterranean Journal of Mathematics, 17 (2020), 138	6 ^[x]
36.	M. S. Moslehian, G. Sadeghi, M. Pliev, “Inequalities for acceptable noncommutative random variables”, Infinite Dimensional Analysis, 23, Quantum Probability and Related Topics:2 (2020), 2050012	1 ^[x]
37.	M. Pliev, F. Sukochev, D. Zanin, “Lp-bounds on the Krein spectral shift function: 0<p<∞”, Russian Journal of Mathematical Physics, 27:4 (2020), 491–499
38.	R. Ch. Kulaev, M. A. Pliev, A. A. Urtaeva, “Kachestvennye svoistva matematicheskoi modeli ploskoi sterzhnevoi sistemy”, Matematicheskii forum (Itogi nauki. Yug Rossii), 13 (2020), 292-293

2019
39.	A. V. Kalinichenko, M. A. Pliev, “The triangle equality in Hilbert $A$-modules”, Russian Math. (Iz. VUZ), 63:10 (2019), 33–39
40.	M. Pliev, F. Polat, M. Weber, “Narrow and C-compact orthogonally additive operators in lattice-normed spaces”, Results in Mathematics, 74:4 (2019), 157	24 ^[x]
41.	N. Abasov, M. Pliev, “Dominated orthogonally additive operators in lattice-normed spaces”, Advances in Operator Theory, 4:1 (2019), 251–264	24 ^[x]
42.	M. Pliev, “Multiplication operators in measurable section spaces”, International Journal of Applied Mathematics, 32:5 (2019), 847–856

2018
43.	N. M. Abasov, M. A. Pliev, “On the sum of narrow and $C$-compact operators”, Vladikavkaz. Mat. Zh., 20:1 (2018), 3–9
44.	A. V. Kalinichenko, I. N. Maliev, M. A. Pliev, “Modular sesquilinear forms and generalized Stinspring representation”, Russian Math. (Iz. VUZ), 62:12 (2018), 42–49
45.	M. A. Pliev, “On Laterally Continuous Orthogonally Additive Operators”, Taurida Journal of Computer Science Theory and Mathematics, 2018, no. 3, 104–111
46.	M. Pliev, M. Weber, “Finite elements in some vector lattices of nonlinear operators”, Positivity, 22:1 (2018), 245–260	5 ^[x]
47.	M. Pliev, K. Ramdane, “Order unbounded orthogonally additive operators in vector lattices”, Mediterranean Journal of Mathematics, 15:2 (2018), 55	31 ^[x]
48.	N. Abasov, M. Pliev, “Disjointness preserving orthogonally additive operators in vector lattices”, Banach Journal of Mathematical Analysis, 12:3 (2018), 730–750	22 ^[x]
49.	N. Abasov, M. Pliev, “On two definitions of a narrow operator on Kothe-Bochner spaces”, Archiv der Mathematik, 111:2 (2018), 167–176	9 ^[x]

2017
50.	M. A. Pliev, X. Fang, “Narrow orthogonally additive operators in lattice-normed spaces”, Siberian Mathematical Journal, 58:1 (2017), 134–141
51.	M. Pliev, “Domination problem for narrow orthogonally additive operators”, Positivity, v.21, 1, (2017), pp. 23-33., 21:1 (2017), 23–33	19 ^[x]
52.	V. P. Orlov, D. A. Rode, M. A. Pliev, “Weak solvability of the generalized Voigt viscoelasticity model”, Siberian Mathematical Journal, 58:5 (2017), 859–874
53.	N. Abasov, M. Pliev, “On extensions of some nonlinear maps in vector lattices”, Journal of Mathematical Analysis and Applications, 455:1 (2017), 516–527	19 ^[x]
54.	M. S. Moslehian, A. Kusraev, M. Pliev, “Matrix KSGNS construction and a Radon–Nikodym type theorem”, Indagationes Mathematicae, 28:5 (2017), 938–952	9 ^[x]
55.	N. Abasov, M. Pliev, “The Yosida-Hewitt type theorem for dominated Urysohn operators”, International Journal of Pure and Applied Mathematics, 117:3 (2017), 415–423

2016
56.	V. Orlov, M. Pliev, D. Rode, “Domination problem for AM-compact abstract Uryson operators”, Archiv der Mathematik., 107:5 (2016), 543–552	19 ^[x]
57.	N. Abasov, A. E. M. Megahed, M. Pliev, “Dominated operators from lattice-normed spaces to sequence Banach lattices”, Annals of Functional Analysis, 7:4 (2016), 646–655	6 ^[x]
58.	M. Pliev, M. Weber, “Disjointness and order projections in the vector lattices of abstract Uryson operators”, Positivity, 20:3 (2016), 695–707	20 ^[x]
59.	D. Dzadzaeva, M. Pliev, “Narrow operators on lattice-normed spaces and vector measures”, Ordered Structures and Applications, Trends in Mathematics, Springer International Publishing, 2016, 161–170.
60.	M. A. Pliev, M. M. Popov, “On extension of abstract Urysohn operators”, Siberian Mathematical Journal, 57:3 (2016), 552–557
61.	N. M. Abasov, M. A. Pliev, “On extension of dominated Uryson operators”, Vladikavkaz. Mat. Zh., 18:1 (2016), 3–8
62.	N. Abasov, M. Pliev, “Order dual of a measurable sections space”, International Journal of Mathematical Analysis, 10:16 (2016), 767–773

2015
63.	V. Mykhaylyuk, M. Pliev, M. Popov, O. Sobchuk., “Dividing measures and narrow operators”, Studia Mathematica, 231:2 (2015), 97–116	3 ^[x]
64.	M. A. Pliev, Ya. V. Elsaev, “Modulno sopryazhennoe prostranstvo dlya standartnogo gilbertovogo modulya nad lokalnoi S*-algebroi”, Matematicheskii forum (Itogi nauki. Yug Rossii), 9, Issledovaniya po matematicheskomu analizu, differentsialnym uravneniyam i matematicheskomu modelirovaniyu (2015), 155–161
65.	A. Getoeva, M. Pliev, “Domination problem for orthogonally additive operators in lattice-normed spaces”, International Journal of Mathematical Analysis, 9:27 (2015), 1341–1352
66.	H.-M. M. Macaev, M. A. Pliev, Y. V. Elsaev, “Radon-Nikodym type theorem for a covariant completely positive maps on Hilbert C*-modules”, International Journal of Mathematical Analysis, 9:35 (2015), 1723–1731
67.	N. Abasov, M. Pliev, “Order properties of the space of dominated Uryson operators”, International Journal of Mathematical Analysis, 9:45 (2015), 2211–2219
68.	N. Abasov, M. Pliev, “Some remarks about abstract Uryson operators”, International Journal of Mathematical Analysis, 9:53 (2015), 2635–2642

2014
69.	M. A. Pliev, I. D. Tsopanov, “On representation of Stinespring's type for $n$-tuple completely positive maps in Hilbert $C^\star$-modules”, Russian Math. (Iz. VUZ), 58:11 (2014), 36–42
70.	M. Pliev, M. Popov, “Dominated Uryson operators”, International Journal of Mathematical Analysis, 8:22 (2014), 1051–1059
71.	M. Pliev, M. Popov, O. Sobchuk, “Up-martingales in vector lattices”, International Journal of Mathematical Analysis, 8:21 (2014), 1041–1050
72.	A. V. Gumenchuk, M. A. Pliev, M. M. Popov, “Extensions of orthogonally additive operators”, Mathematical Population Studies, 41:2 (2014), 214–219

2013
73.	M. Ben Amor, M. Pliev, “Laterally continuous part of an abstract Uryson operator”, International Journal of Mathematical Analysis, 7:58 (2013), 2853–2860
74.	M. Pliev, M. Popov, “Narrow orthogonally additive operators”, Positivity, 18:4 (2013), 641–667	33 ^[x]

2012
75.	I. N. Maliev, M. A. Pliev, “A Stinespring type representation for operators in Hilbert modules over local $C^\star$-algebras”, Russian Math. (Iz. VUZ), 56:12 (2012), 43–49
76.	M. Pliev, “Strict and Uniform Convexity of the Measurable Section Spaces”, International Journal of Mathematical Analysis, 6:14 (2012), 687–694

2011
77.	M. Pliev, “Narrow operators on lattice-normed spaces”, Central European Journal of Mathematics, 9:6 (2011), 1276–1287
78.	I. N. Maliev, M. A. Pliev, “Continuity of ring homomorphisms for local $C^\star$-algebras”, Russian Math. (Iz. VUZ), 55:8 (2011), 28–32
79.	M. A. Pliev, Nelineinye operatory v reshetochno normirovannykh prostranstvakh, Lambert Academic Publishing, 2011, 74 pp.

2010
80.	M. A. Pliev, S. N. Tabuev, “Ob odnom variante teoremy Banakha-Stouna dlya banakhovykh rassloenii”, Vestnik RUDN, 2010, Seriya Matematika. Informatika. Fizika., no. 3-1, 23–27
81.	E. K. Basaeva, M. A. Pliev, “O subdifferentsiale sublineinogo integralnogo operatora”, Izvestiya vysshikh uchebnykh zavedenii. Severo-Kavkazskii region, 2010, no. 4, 5–8
82.	E. K. Basaeva, Yu. A. Kiryutenko, S. B. Klimentov, V. P. Kondakov, Yu. F. Korobeinik, A. G. Kusraev, M. A. Pliev, “Melikhov Sergei Nikolaevich (on his fiftieth birthday)”, Vladikavkaz. Mat. Zh., 12:2 (2010), 79–80

2008
83.	M. A. Pliev, “The shadow of a bilinear regular operator”, Vladikavkaz. Mat. Zh., 10:3 (2008), 40–45
84.	M. A. Pliev, S. N. Tabuev, “O proektsiyakh polozhitelnogo bilineinogo operatora”, Matematicheskii forum (Itogi nauki. Yug Rossii), 1, Issledovaniya po matematicheskomu analizu. Vladikavkaz: VNTs RAN (2008), 166–176

2007
85.	M. A. Pliev, “Majorizable Uryson operators in spaces with a mixed norm”, Vladikavkaz. Mat. Zh., 9:3 (2007), 47–57

2006
86.	M. A. Pliev, “Ordered projection in spaces of Uryson operators”, Vladikavkaz. Mat. Zh., 8:4 (2006), 38–45

2005
87.	M. A. Pliev, “Projection of a positive Uryson operator”, Vladikavkaz. Mat. Zh., 7:4 (2005), 46–51

2000
88.	A. G. Kusraev, M. A. Pliev, “Orthogonally additive majorized operators”, Doklady Mathematics, 61:3 (2000), 361–363

1999
89.	A. G. Kusraev, M. A. Pliev, “A weak integral representation of dominated orthogonally additive operators”, Vladikavkaz. Mat. Zh., 1:4 (1999), 21–37
90.	A. G. Kusraev, M. A. Pliev, “Orthogonally additive operators in lattice-normed spaces”, Vladikavkaz. Mat. Zh., 1:3 (1999), 31–41

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