Дифференцирования алгебры измеримых операторов и их подалгебр,
локальные и 2-локальные отображения ассоциативных и неассоциативных алгебр
Основные публикации:
Sh. A. Ayupov, K. K. Kudaybergenov, “Ring isomorphisms of Murray–von Neumann algebras”, Journal of Functional Analysis, 280:5 (2021), 108891
А. Ф. Бер, К. К. Кудайбергенов, Ф. А. Сукочев, “Дифференцирования на алгебрах Мюррея–фон Неймана”, УМН, 74:5(449) (2019), 183–184
Sh. A. Ayupov, K. K. Kudaybergenov,, “Additive derivations on algebras
of measurable operators”, J. Operator Theory, 67:2 (2012), 495–510
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Structure of Derivations on Various Algebras of Measurable Operators for Type I von Neumann algebras”, Journal of Functional Analysis, 256:9 (2009), 2917–2943
Ш. А. Аюпов, К. К. Кудайбергенов, “Дифференцирования некоммутативных алгебр Аренса”, Функц. анализ и его прил., 41:4 (2007), 70–72; Funct. Anal. Appl., 41:4 (2007), 303–305
Sh. A. Ayupov, K. K. Kudaybergenov, B. Yusupov, “2-Local derivations on generalized Witt algebras”, Linear and Multilinear Algebra, 2021 (Published online) https://www.tandfonline.com/doi/abs/10.1080/03081087.2019.1708846?journalCode=glma20 (cited: 1)
2.
Sh. A. Ayupov, K. K. Kudaybergenov, “Ring isomorphisms of Murray–von Neumann algebras”, Journal of Functional Analysis, 280:5 (2021), 108891
2020
3.
К. К. Кудайбергенов, Ж. Х. Сейпуллаев, “Характеризация JBW-алгебр с сильно гранево симметричным предсопряженным пространством”, Матем. заметки, 107:4 (2020), 539–549; K. K. Kudaybergenov, J. Kh. Seypullaev, “Characterization of JBW-algebras with strongly facially symmetric predual space”, Math. Notes, 107:4 (2020), 600–608
4.
Sh. A. Ayupov, K. K. Kudaybergenov, B. A. Omirov, “Local and 2-local derivations and automorphisms on simple Leibniz algebras”, Bulletin of the Malaysian Mathematical Sciences Society, 43:3 (2020), 2199–2234
5.
Sh. A. Ayupov, K. K. Kudaybergenov, B. A. Omirov, K. Zhao, “Semisimple Leibniz algebras, their derivations and automorphisms”, Linear and Multilinear Algebra, 68:10 (2020), 2005-2019
6.
Sh. A. Ayupov, K. K. Kudaybergenov, “Infinite dimensional central simple regular algebras with outer derivations”, Lobachevskii Journal of Mathematics, 41 (2020), 326-332
7.
A. F. Ber, K. K. Kudaybergenov, F. A. Sukochev, “Notes on derivations of Murray–von Neumann algebras”, Journal of Functional Analysis, 279:5 (2020), 108
8.
Sh. A. Ayupov, K. K. Kudaybergenov, B. Yusupov, “Local and 2-local derivations of $p$-filiform Leibniz algebras”, Journal of Mathematical Sciences, 245 (2020), 359–367
9.
K. K. Kudaybergenov, J. X. Seypullaev, “Description of facially symmetric spaes with unitary tripotents”, Siberian Advances in Mathematics, 30:2 (2020), 2 , 117-123 pp.
10.
K. K. Kudaybergenov, “Derivations of Murray-von Neumann algebras”, Modern problems in mathematics (Nukus, 20 may 2020), KarSU, 2020, 40
2019
11.
А. Ф. Бер, К. К. Кудайбергенов, Ф. А. Сукочев, “Дифференцирования на алгебрах Мюррея–фон Неймана”, УМН, 74:5(449) (2019), 183–184 (цит.: 1) (цит.: 1); A. F. Ber, K. K. Kudaybergenov, F. A. Sukochev, “Derivations on Murray–von Neumann algebras”, Russian Math. Surveys, 74:5 (2019), 950–952 (cited: 1) (cited: 1)
12.
Sh. A. Ayupov, K. K. Kudaybergenov, T. S. Kalandarov, “2-Local automorphisms on $AW^\ast$-algebras.”, Positivity and Noncommutative Analysis. Trends in Mathematics, Birkhäuser, 2019, 1–13
13.
K. K.Kudaybergenov, M. Ladra, B. A.Omirov, “On Levi–Malcev theorem for Leibniz algebras”, Linear and Multilinear Algebra, 67:7 (2019), 1471-1482 (cited: 1)
2018
14.
Ш. А. Аюпов, К. К. Кудайбергенов, Б. Б. Юсупов, “Локальные и 2-локальные дифференцирования $p$-филиформных алгебр Лейбница”, Материалы научной конференции «Проблемы современной топологии и ее приложения», 11–12 Мая 2017 г., Ташкент, Узбекистан, Итоги науки и техн. Сер. Соврем. мат. и ее прил. Темат. обз., 144, ВИНИТИ РАН, М., 2018, 65–73
15.
М. М. Ибрагимов, К. К. Кудайбергенов, Ж. Х. Сейпуллаев, “Гранево симметричные и предсопряженные эрмитовой части алгебр фон Неймана пространства”, Изв. вузов. Матем., 2018, № 5, 33–40 (цит.: 3) (цит.: 1); M. M. Ibragimov, K. K. Kudaibergenov, Zh. Kh. Seipullaev, “Facially symmetric spaces and predual ones of Hermitian part of von Neumann algebras”, Russian Math. (Iz. VUZ), 62:5 (2018), 27–33 (cited: 1) (cited: 1)
16.
М. М. Ибрагимов, К. К. Кудайбергенов, Ж. Х. Сейпуллаев, “Геометрическая характеризация вещественных JBW-факторов”, Владикавк. матем. журн., 20:1 (2018), 61–68
17.
Sh. A. Ayupov, K. K. Kudaybergenov, “Local automorphisms on finite dimensional Lie and Leibniz algebras”, Algebra, Complex Analysis, and Pluripotential Theory. USUZCAMP 2017. Springer Proceedings in Mathematics & Statistics, vol 264. Springer, Springer, 2018, 31–44
18.
Ш. А. Аюпов, В. И. Чилин, Р. Н. Ганиходжаев, К. К. Муминов, А. Артикбаев, Б. С. Закиров, А. Алимов, К. К. Кудайбергенов, Ф. Мухамедов, У. Бекбоев, И. Рахимов, “Памяти Иномжона Гуламджановича Ганиева (1959–2017)”, Владикавк. матем. журн., 20:1 (2018), 98–102
2017
19.
Ayupov Sh. A., Kudaybergenov K. K., Alauadinov A. K., “2-Local derivations on matrix algebras and algebras of measurable operators”, Advances in Operator Theory, 2:4 (2017), 494-505 (cited: 1) (cited: 1)
20.
K. K. Kudaybergenov, F. M. Mukhamedov, “Self-adjoint cyclically compact operators and its application”, Bulletin of the Korean Mathematical Society, 54 (2017), 679-686
2016
21.
Ayupov Sh. A., Kudaybergenov K. K., “Local derivations on measurable operators and commutativity”, European Journal of Mathematics, 2 (2016) , 8 pp. (cited: 1) (cited: 1)
22.
Sh. A. Ayupov, K. K. Kudaybergenov, “2-Local automorphisms on finite-dimensional Lie algebras”, Linear Algebra and its Applications, 507 (2016), 121–131 https://www.sciencedirect.com/science/article/abs/pii/S0024379516302178 (cited: 9) (cited: 11)
23.
Sh. A. Ayupov, K. K. Kudaybergenov, “Local derivations on finite-dimensional Lie algebras”, Linear Algebra and its Applications, 493 (2016), 381–398 https://www.sciencedirect.com/science/article/abs/pii/S0024379515007089 (cited: 14) (cited: 17)
24.
J. Hamhalter, K. K. Kudaybergenov, A. M. Peralta, B. Russo, “Boundedness of completely additive measures with application to 2-local triple derivations”, Journal of Mathematical Physics, 57 (2016), 021709 (cited: 4)
25.
Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations, local and 2-local derivations on algebras of measurable operators”, Topics in Functional Analysis and Algebra, Contemporary Mathematics, 672 (2016), 51-72
26.
K. K. Kudaybergenov, F. M. Mukhamedov, “Spectral decomposition of self-adjoint cyclically compact operators and partial integral equations”, Acta Mathematica Hungarica, 149 (2016), 297–305 (cited: 2)
2015
27.
Sh. A. Ayupov, K. K. Kudaybergenov, I. Rakhimov, “2-Local derivations on finite-dimensional Lie algebras”, Linear Algebra and its Applications, 474 (2015), 1–11 https://www.sciencedirect.com/science/article/pii/S0024379515000452 (cited: 24)
28.
K. K. Kudaybergenov, F. M. Mukhamedov, “Local Derivations on Subalgebras of τ-Measurable Operators with Respect to Semi-finite von Neumann Algebras”, Mediterranean Journal of Mathematics volume, 12 (2015), 1009–1017
2014
29.
Sh. A. Ayupov, R. Z. Abdullaev, K. K. Kudaybergenov, “On a certain class of operator algebras and their derivations”, Eurasian Math. J., 5:1 (2014), 82–94 (cited: 1)
30.
K. K. Kudaybergenov, T. Oikhberg, A. M. Peralta, B. Russo, “2-local triple derivations on von Neumann algebras”, Illinois J. Math., 58 (2014), 1055-1069
31.
Sh. A. Ayupov, K. K. Kudaybergenov,B. O. Nurjanov, A. K. Alauadinov, “Local and 2-local derivations on noncommutative Arens algebras”, Mathematica Slovaca, 2014, 423-432
2013
32.
М. М. Ибрагимов, К. К. Кудайбергенов, “Геометрическое описание $L_1$-пространств”, Изв. вузов. Матем., 2013, № 9, 21–27 (цит.: 2); M. M. Ibragimov, K. K. Kudaibergenov, “Geometric description of $L_1$-spaces”, Russian Math. (Iz. VUZ), 57:9 (2013), 16–21 (cited: 3)
33.
М. М. Ибрагимов, К. К. Кудайбергенов, С. Ж. Тлеумуратов, Ж. Х. Сейпуллаев, “Геометрическое описание предсопряженного пространства к атомической коммутативной алгебре фон Неймана”, Матем. заметки, 93:5 (2013), 728–735 (цит.: 3) (цит.: 1) ; M. M. Ubragimov, K. K. Kudaybergenov, S. Zh. Tleumuratov, Zh. Kh. Sejpullaev, “Geometric description of the preduals of atomic commutative von Neumann algebras”, Math. Notes, 93:5 (2013), 715–721 (cited: 1) (cited: 2)
34.
Sh. A. Ayupov, K. K. Kudaybergenov, A. K. Alauadinov, “2-Local derivations on matrix algebras over commutative regular algebras”, Linear Algebra and its Applications, 439:5 (2013), 1294–1311 https://www.sciencedirect.com/science/article/pii/S0024379513002759 (cited: 8)
35.
Sh. A. Ayupov, K. K. Kudaybergenov, “Innerness of continuous derivations on algebras of measurable operators affiliated with finite von Neumann algebras”, Journal of Mathematical Analysis and Applications, 408 (2013), 256–267 https://www.sciencedirect.com/science/article/pii/S0022247X13005490 (cited: 4)
36.
Sh. A. Ayupov, K. K. Kudaybergenov, “Spatiality of derivations on the algebra of $\tau$-compact operators”, Integral Equations and Operator Theory, 77 (2013), 581-598
37.
N. Yadgorov,M. M. Ibragimov, K. K. Kudaybergenov, “Geometric characterization of $L_1$-spaces”, Studia Mathematica, 219 (2013), 97-107
38.
Sh. A. Ayupov, K. K. Kudaybergenov, A. K. Alauadinov, “2 -local derivations on algebras of locally measurable operators”, Annals of Functional Analysis, 4 (2013), 110-117
2012
39.
Sh. A. Ayupov, K. K. Kudaybergenov, “2-Local derivations and automorphisms on $B(H)$”, Journal of Mathematical Analysis and Applications, 395:1 (2012), 15–18 https://www.sciencedirect.com/science/article/pii/S0022247X12003332 (cited: 34)
40.
Sh. A. Ayupov, K. K. Kudaybergenov, R. Djumamuratov, “Topologies on central extensions of von Neumann algebras”, Central European Journal of Mathematics, 10 (2012), 656-664
41.
S. Albeverio, K. K. Kudaybergenov, R. Djumamuratov, “Conditions of coincidence of central extensions of von Neumann algebras and algebras of measurable operators”, Lobachevskii Journal of Mathematics, 33 (2012), 200-207
42.
Sh. A. Ayupov, K. K. Kudaybergenov, “Additive derivations on algebras of measurable operators”, Journal of Operator Theory, 67 (2012), 495-510
2011
43.
К. К. Кудайбергенов, К. У. Бегжанова, “Описание слабо аддитивных функционалов на плоскости, сохраняющих порядок”, Владикавк. матем. журн., 13:1 (2011), 31–37 (цит.: 1)
44.
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, R. Djumamuratov, “Automorphisms of central extensions of type I von Neumann algebras”, Studia Mathematica, 207 (2011), 1-17
45.
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, B. O. Nurjanov, “Local derivations on algebras of measurable operators”, Communications in Contemporary Mathematics, 13 (2011), 643-657
46.
S. Albeverio, Sh. A. Ayupov, R. Z. Abdullaev, K. K. Kudaybergenov, “Additive derivations on generalized Arens algebras”, Lobachevskii Journal of Mathematics, 32 (2011), 194-202
2010
47.
Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations on algebras of measurable operators”, Infinite Dimensional Analysis, Quantum Probability and Related Topics, 2010 , 305-337 pp.
2009
48.
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Structure of derivations on various algebras of measurable operators for type I von Neumann algebras”, Journal of Functional Analysis, 256:9 (2009), 2917-2943 https://www.sciencedirect.com/science/article/pii/S0022123608004953?via
2008
49.
В. И. Чилин, И. Г. Ганиев, К. К. Кудайбергенов, “Теорема Гельфанда–Наймарка для $C^*$-алгебр над кольцом измеримых функций”, Изв. вузов. Матем., 2008, № 2, 60–68 (цит.: 4) ; V. I. Chilin, I. G. Ganiev, K. K. Kudaibergenov, “The Gel'fand-Naĭmark theorem for $C^*$-algebras over a ring of measurable functions”, Russian Math. (Iz. VUZ), 52:2 (2008), 58–66
50.
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations on the algebra of measurable operators affiliated with a type I von Neumann algebra”, Siberian Advances in Mathematics, 18 (2008)
51.
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Derivations on the algebra of $\tau$-compact operators affiliated with a type I von Neumann algebra”, Positivity, 12 (2008), 375–386
52.
Sh. A. Ayupov, K. K. Kudaybergenov, “Innerness of derivations on subalgebras of measurable operators”, Lobachevskii Journal of Mathematics, 29 (2008), 60-67
2007
53.
Ш. А. Аюпов, К. К. Кудайбергенов, “Дифференцирования некоммутативных алгебр Аренса”, Функц. анализ и его прил., 41:4 (2007), 70–72 (цит.: 3) (цит.: 3); Sh. A. Ayupov, K. K. Kudaibergenov, “Derivations of Noncommutative Arens Algebras”, Funct. Anal. Appl., 41:4 (2007), 303–305 (cited: 3) (cited: 3)
54.
В. И. Чилин, И. Г. Ганиев, К. К. Кудайбергенов, “ГНС-представление $C^*$-алгебр над кольцом измеримых функций”, Владикавк. матем. журн., 9:2 (2007), 33–39 (цит.: 6)
55.
S. Albeverio, Sh. A. Ayupov, K. K. Kudaybergenov, “Non-commutative Arens algebras and their derivations”, Journal of Functional Analysis, 253:1 (2007), 287–302 https://www.sciencedirect.com/science/article/pii/S0022123607001772 (cited: 17)
2006
56.
И. Г. Ганиев, К. К. Кудайбергенов, “Принцип равномерной ограниченности Банаха–Штейнгауза для операторов в пространствах Банаха–Канторовича над $L^0$”, Матем. тр., 9:1 (2006), 21–33 (цит.: 2) ; I. G. Ganiev, K. K. Kudaibergenov, “The Banach–Steinhaus uniform boundedness principle for operators in Banach–Kantorovich spaces over $L^0$”, Siberian Adv. Math., 16:3 (2006), 42–53
57.
К. К. Кудайбергенов, “Теорема Гельфанда — Мазура для $C^*$-алгебр над кольцом измеримых функций”, Владикавк. матем. журн., 8:2 (2006), 45–49
2004
58.
И. Г. Ганиев, К. К. Кудайбергенов, “Теорема Банаха об обратном операторе в пространствах Банаха — Канторовича”, Владикавк. матем. журн., 6:3 (2004), 21–25 (цит.: 3)