A. B. Aleksandrov, V. V. Peller, “Functons of perturbed pairs of noncommuting dissipative operator”, St. Petersburg Math. J., 34:3 (2023), 379–392
8.
A. B. Aleksandrov, V. V. Peller, “Functions of perturbed noncommuting unbounded self-adjoint operators”, St. Petersburg Math. J., 34:6 (2023), 913–927
2022
9.
A. B. Aleksandrov, V. V. Peller, “Functions of pairs of unbounded noncommuting self-adjoint operators under perturbation”, Dokl. Math., 106:3 (2022), 407–411
2020
10.
A. B. Aleksandrov, V. V. Peller, “Functions of perturbed pairs of non-commuting contractions”, Izv. Math., 84:4 (2020), 659–682
11.
A.B. Aleksandrov and V.V. Peller, “Functions of noncommuting operators under perturbation of class $S_p$”, Math. Nachr., 293 (2020), 847–860
12.
A.B. Aleksandrov and V.V. Peller, “Schur multipliers of Schatten–von Neumann classes $S_p$”, Journal Funct. Anal., 279 (2020), 108683
A. B. Aleksandrov, V. V. Peller, D. S. Potapov, “On a Trace Formula for Functions of Noncommuting Operators”, Math. Notes, 106:4 (2019), 481–487
2018
17.
V. V. Peller, “An elementary approach to operator Lipschitz type estimates”, Tribute to Victor Havin: 50 Years with Hardy Spaces, 261, Birkhäuser, Basel, 2018, 395–416.
18.
V. V. Peller, “Functions of triples of noncommuting self-adjoint operators under perturbations of class $\boldsymbol{S_p}$”, Proc. Amer. Math. Society, 146:4 (2018), 1699-1711
A. B. Aleksandrov, V. V. Peller, “Multiple operator integrals, Haagerup and Haagerup-like tensor products, and operator ideals”, Bulletin London Math. Soc., 49 (2017), 463–479
M. M. Malamud, H. Neidhardt, V. V. Peller, “Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions”, Funct. Anal. Appl., 51:3 (2017), 185–203
21.
M. M. Malamud, H. Neidhardt, V. V. Peller, “A trace formula for functions of contractions and analytic operator Lipschitz functions”, C. R. Math. Acad. Sci. Paris, 355 (2017), 806–811
A. B. Aleksandrov, V. V. Peller, “Krein's trace formula for unitary operators and operator Lipschitz functions”, Funct. Anal. Appl., 50:3 (2016), 167–175
23.
A. B. Aleksandrov, V. V. Peller, “Operator Lipschitz functions”, Russian Math. Surveys, 71:4 (2016), 605–702
24.
V. V. Peller, “Comments on the paper N.J. Kalton and C. Le Merdy “Solution of a problem of Peller concerning similarity””, Nigel J. Kalton Selecta, V. 1, Contemporary Mathematicians, Birkhäuser, Basel, 2016, 335–338
25.
V. V. Peller, “Multiple operator integrals in perturbation theory”, Bull. Math. Sci., 6 (2016), 15–88
A. B. Aleksandrov, F. L. Nazarov, V. V. Peller, “Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals”, Adv. Math., 295 (2016), 1–-52
27.
A. B. Aleksandrov, V. V. Peller, “Functions of almost commuting operators and an extension of the Helton–Howe trace formula”, J. Funct. Anal., 271 (2016), 3300–3322
28.
V. V. Peller, “The Lifshits–Krein trace formula and operator Lipschitz functions”, Proc. Amer. Math. Soc., 144 (2016), 5207–5215
2015
29.
A. B. Aleksandrov, F. L. Nazarov, V. V. Peller, “Functions of perturbed noncommuting self-adjoint operators”, C. R. Acad. Sci. Paris, Sér. I, 353 (2015), 209-–214
A. B. Aleksandrov, V. V. Peller, “Almost commuting functions of almost commuting self-adjoint operators”, C. R. Acad. Sci. Paris, Sér. I, 353 (2015), 583–588
A. B. Aleksandrov, F. L. Nazarov, V. V. Peller, “Triple operator integrals in Schatten–von Neumann norms and functions of perturbed noncommuting operators”, C.R. Acad. Sci. Paris, Sér. I, 353 (2015), 723–728
2014
32.
F. L. Nazarov, V. V. Peller, “Functions of perturbed $n$-tuples of commuting self-adjoint operators”, J. Funct. Anal., 266 (2014), 5398–-5428
V. V. Peller, “Utilization of technology for mathematical talks”, Notices of the AMS, 60:2 (2013), 235–238
2012
34.
A. B. Aleksandrov, V. V. Peller, “Operator and commutator moduli of continuity for normal operators”, Proc. London Math. Soc. (3), 105 (2012), 821-–851
V. V. Peller, “Selected problems in perturbation theory”, Topics in complex analysis and operator theory, Contemp. Math., 561, Amer. Math. Soc., Providence, RI, 2012, 67–90
36.
F. L. Nazarov, V. V. Peller, “Functions of perturbed tuples of self-adjoint operators”, C.R. Acad. Sci. Paris, Sér. I, 350 (2012), 349–354
V. V. Peller, “The behavior of functions of operators under perturbations”, A glimpse at Hilbert space operators, Oper. Theory Adv. Appl., 207, Birkhäuser, Basel, 2010, 287–324
A. B. Aleksandrov, V. V. Peller, “Functions of perturbed unbounded self-adjoint operators. Operator Bernstein type inequalities”, Indiana Univ. Math. J., 59 (2010), 1451–1490
A. B. Aleksandrov, V. V. Peller, D. Potapov, F. Sukochev, “Functions of perturbed normal operators”, C.R. Acad. Sci. Paris, Sér. I, 348 (2010), 553–558
V. V. Peller, “Differentiability of functions of contractions”, Linear and complex analysis, Amer. Math. Soc. Transl. Ser. 2, 226, Amer. Math. Soc., Providence, RI, 2009, 109–131
49.
A. B. Aleksandrov, V. V. Peller, “Functions of perturbed operators”, C.R. Acad. Sci. Paris, Sér. I, 347 (2009), 483–488
A. B. Aleksandrov, S. Janson, V. V. Peller, R. Rochberg, “An interesting class of operators with unusual Schatten–von Neumann behavior”, Function spaces, interpolation theory and related topics (Lund, 2000), de Gruyter, Berlin, 2002, 61–149
2001
62.
R. B. Alexeev, V. V. Peller, “Unitary interpolants and factorization indices of matrix functions”, J. Funct. Anal., 179 (2001), 43-65
63.
R. B. Alexeev, V. V. Peller, “Invariance properties of thematic factorizations of matrix functions”, J. Funct. Anal., 179 (2001), 309-332
2000
64.
V. V. Peller, “Regularity conditions for vectorial stationary processes”, Operator Theory: Advances and Applications, 113, Birkhäuser, Basel, 2000, 287-301
65.
R. B. Alexeev, V. V. Peller, “Badly approximable matrix functions and canonical factorizations”, Indiana Univ. Math. J., 49 (2000), 1247–1285
V. V. Peller, “An excursion into the theory of Hankel operators”, Holomorphic spaces (Berkeley, CA, 1995), Math. Sci. Res. Inst. Publ., 33, Cambridge Univ. Press, Cambridge, 1998, 65–120
67.
V. V. Peller, “Factorization and approximation problems for matrix functions”, J. Amer. Math. Soc., 11 (1998), 751-770
68.
V. V. Peller, “Hereditary properties of solutions of the four block problem”, Indiana Univ. Math. J., 47 (1998), 177-197
1997
69.
V. V. Peller, S. R. Treil, “Approximation by analytic matrix functions. The four-block problem”, J. Funct. Anal., 148 (1997), 191-228
70.
V. V. Peller, N. J.Young, “Continuity properties of best analytic approximations”, J. Reine und Angew. Math., 483 (1997), 1-22
1996
71.
V. V. Peller, N. J.Young, “Superoptimal approximation by meromorphic matrix functions”, Math. Proc. Camb. Phil. Soc., 119 (1996), 497-511
V. V. Peller, “Approximation by analytic operator-valued functions”, Harmonic Analysis and Operor Theory (Caracas, 1994), Contemp. Math., 189, Amer. Math. Soc., Providence, RI, 1995, 431-438
A. M. Megretskii, V. V. Peller, S. R. Treil, “Le problème inverse pour les opérateurs de Hankel”, Comptes Rendus Acad. Sci, Paris, Séries I, 317 (1993), 343-346
1992
82.
V. V. Peller, “Boundedness properties of the operators of best approximations by meromorphic functions”, Arkiv för Mat., 30 (1992), 331-343
A. L. Vol'berg, V. V. Peller, D. V. Yakubovich, “A brief excursion into the theory of hyponormal operators”, Leningrad Math. J., 2:2 (1991), 211–243
84.
V. V. Peller, “Hankel operators and continuity properties of best approximation operators”, Leningrad Math. J., 2:1 (1991), 139–160
1990
85.
V. V. Peller, “Hankel operators and multivariate stationary processes”, Operator theory: operator algebras and applications, Part 1, Proc. Sympos. Pure Math. (Durham, NH, 1988), 51, Part 1, Amer. Math. Soc., Providence, RI, 1990, 357-371
V. V. Peller, “Hankel operators in the perturbation theory of unbounded selfadjoint operators”, Analysis and Partial Differential Equations. A Collection of Papers Dedicated to Misha Cotlar, Lecture Notes in Pure and Appl. Math.,, 122, Marcel Dekker, Inc., New York, 1990, 529-544
1989
87.
V. V. Peller, “When is a function of a Toeplitz operator close to a Toeplitz operator?”, Operator Theory, 42, Birkhäuser, Basel, 1989, 59-85
V. V. Peller, “Smoothness of Schmidt functions of smooth Hankel operators”, Function spaces and applications (Lund 1986), Lect. Notes Math., 1302, Springer-Verlag, Berlin, 1988, 237-246
89.
V. V. Peller, “Wiener–Hopf operators on a finite interval and Schatten–von Neumann classes”, Proc. Amer. Math. Soc., 104 (1988), 479-486
V. V. Peller, “Rational approximation in $L^p$ and Faber transforms”, Investigations on linear operators and function theory. Part XVI, Zap. Nauchn. Sem. LOMI, 157, “Nauka”, Leningrad. Otdel., Leningrad, 1987, 70–75
91.
V. V. Peller, “For which $f$ does $A-B\in\boldsymbol{S}_p$ imply that $f(A)-f(B)\in\boldsymbol{S}_p$?”, Operator Theory, 24, Birkhäuser, Basel, 1987, 289-294
92.
V. V. Peller, “Spectrum, similarity, and invariant subspaces of Toeplitz operators”, Math. USSR-Izv., 29:1 (1987), 133–144
1986
93.
V. V. Peller, S .V. Khrushchev, “Hankel operators of Schatten – von Neumann class $\boldsymbol{S}_p$ and their applications to stationary processes and best approximations”: N. K. Nikolskii, Treatise on the shift operator, Springer-Verlag, Berlin, 1986, 359-454
1985
94.
V. V. Peller, “Hankel operators in the perturbation theory of unitary and self-adjoint operators”, Funct. Anal. Appl., 19:2 (1985), 111–123
1987
95.
V. V. Peller, “A remark on interpolation in spaces of vector functions”, J. Soviet Math., 37:5 (1987), 1357–1358
1984
96.
V. V. Peller, “Hankel Schur multipliers and multipliers of $H^1$”, Investigations on linear operators and function theory. Part XIII, Zap. Nauchn. Sem. LOMI, 135, “Nauka”, Leningrad. Otdel., Leningrad, 1984, 113–119
97.
V.V. Peller, “Metricheskie svoistva usrednyayuschego proektora na mnozhestvo gankelevykh operatorov”, DAN SSSR, 278 (1984), 275-281
98.
V. V. Peller, “Estimates of functions of a Hilbert space operator, similarity to a contraction, and related function algebras”, 199 problems of linear and complex analysis, Lect. Notes in Math., 1043, Springer - Verlag,, Berlin, 1984, 199 - 204
99.
V. V. Peller, “Estimates of operator polynomials in the Schatten – von Neumann classes $\boldsymbol{S}_{p}$”, 199 problems in linear and complex analysis, Lect. Notes Math., 1043, Springer-Verlag, Berlin, 1984, 205-208
100.
S. V. Khrushchev, V. V. Peller, “Moduli of Hankel operators, Past and Future”, 199 problems of real and complex analysis, Lect. Notes in Math., 1043, Springer-Verlag, Berlin, 1984, 92-97
101.
V. V. Peller, “Iterates of Toeplitz operators”, 199 problems of linear and complex analysis, Lect. Notes Math., 1043, Springer-Verlag, Berlin, 1984, 269-270
102.
V. V. Peller, “Nuclear Hankel operators acting between Hardy classes”, Operator Theory, 14, Birkhäuser, Basel, 1984, 213-220
103.
V. V. Peller, “Metric properties of an averaging projector onto the set of Hankel
matrices”, Dokl. Akad. Nauk SSSR, 278:2 (1984), 275–281
1985
104.
V. V. Peller, “A description of Hankel operators of class $\mathfrak S_p$ for $p>0$, an investigation of the rate of rational approximation, and other applications”, Math. USSR-Sb., 50:2 (1985), 465–494
1983
105.
V. V. Peller, “Invariant subspaces for Toeplitz operators”, Investigations on linear operators and function theory. Part XII, Zap. Nauchn. Sem. LOMI, 126, “Nauka”, Leningrad. Otdel., Leningrad, 1983, 170–179
106.
V.V. Peller, “Continuity properties of the averaging projection onto the set of Hankel matrices”, J. Funct. Anal., 53 (1983), 64-73
1982
107.
V. V. Peller, S. V. Khrushchev, “Hankel operators, best approximations, and stationary Gaussian processes”, Russian Math. Surveys, 37:1 (1982), 61–144
1987
108.
V. V. Peller, “Rational approximation and smoothness of functions”, J. Soviet Math., 36:3 (1987), 391–398
1982
109.
V.V. Peller, “Estimates of functions of power bounded operators on Hilbert space”, J. Oper. Theory, 7 (1982), 341-372
110.
V.V. Peller, “Vectorial Hankel operators and related operators of the Schatten–von Neumann class ${\frak S}_{p}$”, Int. Equat. Oper. Theory, 5 (1982), 244-272
V. V. Peller, “Analogue of J. von Neumann's inequality, isometric dilation of contractions and approximation by isometries in spaces of measurable functions”, Proc. Steklov Inst. Math., 155 (1983), 101–145
1982
112.
V. V. Peller, “Hankel operators of class $\mathfrak S_p$ and their applications (rational approximation, Gaussian processes, the problem of majorizing operators)”, Math. USSR-Sb., 41:4 (1982), 443–479
1980
113.
V. V. Peller, “Gladkie gankelevy operatory i ikh prilozheniya (idealy ${\frak S}_p$, klassy Besova, sluchainye protsessy)”, DAN SSSR, 252:1 (1980), 43–48
V. V. Peller, “Estimates of operator polynomials in symmetric spaces. Functional calculus for absolute contraction operators”, Math. Notes, 25:6 (1979), 464–471
115.
V. V. Peller, “Applications of ultraproducts in operator theory. A simple proof of E. Bishop's theorem”, Investigations on linear operators and function theory. Part IX, Zap. Nauchn. Sem. LOMI, 92, “Nauka”, Leningrad. Otdel., Leningrad, 1979, 230–240
1978
116.
V. V. Peller, “Approximations by isometries and V. I. Matsaev's hypothesis for absolute contractions of the space $L^p$”, Funct. Anal. Appl., 12:1 (1978), 29–38
1984
117.
V. V. Peller, “14.4. Estimation of operator polynomials in Schatten–von Neumann classes”, J. Soviet Math., 26:5 (1984), 2167–2168
1978
118.
V.V. Peller, “L'inégalité de von Neumann, la dilatation isométrique et l'approximation par isométries dans $L^{p}$”, C.R. de l'Académie des Sciences de Paris, sér. A,, 278 (1978), 311-314
1981
119.
V. V. Peller, “Estimates of operator polynomials on the space $L^p$ with respect to the multiplier norm”, J. Soviet Math., 16:3 (1981), 1139–1149
1976
120.
V.V. Peller, “Analog neravenstva Dzh. fon Neimana dlya prostranstva $L^p$”, DAN SSSR, 231:3 (1976), 539–542
2024
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