Compute Distance To:
 Documents Indexed: 112 Publications since 1976, including 2 Books 5 Further Contributions Reviewing Activity: 408 Reviews Co-Authors: 17 Co-Authors with 53 Joint Publications 699 Co-Co-Authors
all top 5

### Co-Authors

 60 single-authored 27 Aleksandrov, Aleksei B. 7 Nazarov, Fedor L. 6 Treil, Sergei 5 Young, Nicholas John 3 Khrushchev, Sergei V. 3 Malamud, Mark M. 3 Neidhardt, Hagen 3 Nikol’skiĭ, Nikolaĭ Kapitonovich 3 Potapov, Denis 3 Szőkefalvi-Nagy, Béla 3 Vasyunin, Vasiliĭ Ivanovich 2 Clark, Douglas Napier 2 Douglas, Ronald George 2 Faddeev, Lyudvig Dmitrievich 2 Helson, Henry 2 Leiterer, Jürgen 2 McKean, Henry P. jun. 2 Naboko, Serguei N. 2 Pavlov, Boris Sergeevich 2 Putnam, Calvin R. 2 Rochberg, Richard 2 Sakhnovych, Lev Aronovych 2 Smyth, M. R. F. 2 Sukochev, Fedor Anatol’evich 2 Vershik, Anatoliĭ Moiseevich 2 West, Timothy Trevor 1 Albrecht, Ernst 1 Baratchart, Laurent 1 Colojoară, Ion 1 Cwikel, Michael 1 Dales, C. 1 Eschmeier, Jorg 1 Foiaş, Ciprian Ilie 1 Janson, Svante 1 Jonas, Peter 1 Megretski, Alexandre 1 Megretskii, Alexander M. 1 Neidhart, H. 1 Neumann, Michael M. 1 Peetre, Jaak 1 Pták, Vlastimil 1 Putinar, Mihai 1 Radjabalipour, Mehdi 1 Sinclair, Allan M. 1 Stochel, Jan 1 Szafraniec, Franciszek Hugon 1 Vasilescu, Florian-Horia 1 Volberg, Alexander Lvovich 1 Widom, Harold 1 Yakubovich, Dmitry V. 1 Young, N. G.
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### Serials

 14 Journal of Functional Analysis 8 Comptes Rendus. Mathématique. Académie des Sciences, Paris 7 Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta Imeni V. A. Steklova 6 Indiana University Mathematics Journal 6 Journal of Soviet Mathematics 6 Proceedings of the American Mathematical Society 4 Functional Analysis and its Applications 3 Advances in Mathematics 3 Soviet Mathematics. Doklady 2 Mathematical Notes 2 Russian Mathematical Surveys 2 Integral Equations and Operator Theory 2 Mathematische Nachrichten 2 Leningrad Mathematical Journal 2 Mathematics of the USSR, Sbornik 2 St. Petersburg Mathematical Journal 1 Mathematical Proceedings of the Cambridge Philosophical Society 1 Matematicheskie Zametki 1 Studia Mathematica 1 Uspekhi Matematicheskikh Nauk [N. S.] 1 Arkiv för Matematik 1 Acta Mathematica 1 Bulletin of the London Mathematical Society 1 Funktsional’nyĭ Analiz i ego Prilozheniya 1 Journal of Approximation Theory 1 Journal für die Reine und Angewandte Mathematik 1 Matematicheskiĭ Sbornik. Novaya Seriya 1 Mathematische Annalen 1 Mathematics of the USSR. Izvestiya 1 Proceedings of the London Mathematical Society. Third Series 1 Journal of Operator Theory 1 Journal of the American Mathematical Society 1 MCSS. Mathematics of Control, Signals, and Systems 1 Algebra i Analiz 1 IMRN. International Mathematics Research Notices 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Selecta Mathematica. New Series 1 Izvestiya: Mathematics 1 Comptes Rendus Hebdomadaires des Séances de l’Académie des Sciences, Série A 1 Grundlehren der Mathematischen Wissenschaften 1 Proceedings of the Steklov Institute of Mathematics 1 Trudy Matematicheskogo Instituta Imeni V. A. Steklova 1 Journal of Spectral Theory 1 Bulletin of Mathematical Sciences 1 Springer Monographs in Mathematics
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### Fields

 108 Operator theory (47-XX) 31 Functional analysis (46-XX) 17 Functions of a complex variable (30-XX) 15 Approximations and expansions (41-XX) 6 Probability theory and stochastic processes (60-XX) 3 Real functions (26-XX) 3 Harmonic analysis on Euclidean spaces (42-XX) 2 General and overarching topics; collections (00-XX) 1 Mathematical logic and foundations (03-XX) 1 Linear and multilinear algebra; matrix theory (15-XX) 1 Ordinary differential equations (34-XX) 1 Abstract harmonic analysis (43-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Quantum theory (81-XX) 1 Systems theory; control (93-XX)

### Citations contained in zbMATH Open

94 Publications have been cited 1,064 times in 594 Documents Cited by Year
Hankel operators and their applications. Zbl 1030.47002
2003
Hankel operators in the perturbation theory of unitary and self-adjoint operators. Zbl 0587.47016
Peller, V. V.
1985
Hankel operators, best approximations, and stationary Gaussian processes. Zbl 0505.60043
Peller, V. V.; Khrushchev, S. V.
1982
Multiple operator integrals and higher operator derivatives. Zbl 1102.46024
Peller, V. V.
2006
Hankel operators of class $$S_ p$$ and their applications (rationalapproximation, Gaussian processes, majorizations problem of operators). Zbl 0458.47022
Peller, V. V.
1980
Hankel operators of class $$S_ p$$ and their applications (rational approximation, Gaussian processes, the problem of majorizing operators). Zbl 0478.47015
Peller, V. V.
1982
Vectorial Hankel operators, commutators and related operators of the Schatten - von Neumann class $$S_ p$$. Zbl 0478.47014
1982
Operator Hölder-Zygmund functions. Zbl 1193.47017
Aleksandrov, A. B.; Peller, V. V.
2010
Operator Lipschitz functions. Zbl 1356.26002
Aleksandrov, A. B.; Peller, V. V.
2016
Functions of normal operators under perturbations. Zbl 1220.47018
Aleksandrov, A. B.; Peller, V. V.; Potapov, D. S.; Sukochev, F. A.
2011
Estimates of functions of power bounded operators on Hilbert spaces. Zbl 0485.47007
1982
Hankel operators, best approximations, and stationary Gaussian processes. Zbl 0497.60033
Peller, V. V.; Khrushchev, S. V.
1982
The inverse spectral problem for selfadjoint Hankel operators. Zbl 0865.47015
Megretski, A. V.; Peller, V. V.; Treil, S. R.
1995
Functions of operators under perturbations of class $$S_p$$. Zbl 1196.47012
Aleksandrov, A. B.; Peller, V. V.
2010
Superoptimal analytic approximations of matrix functions. Zbl 0808.47011
Peller, V. V.; Young, N. J.
1994
Hankel operators in the perturbation theory of unbounded self-adjoint operators. Zbl 0716.47015
1990
Hankel and Toeplitz-Schur multipliers. Zbl 1030.47019
Aleksandrov, A. B.; Peller, V. V.
2002
An extension of the Koplienko–Neidhardt trace formulae. Zbl 1067.47019
Peller, V. V.
2005
Functions of perturbed unbounded self-adjoint operators. Operator Bernstein type inequalities. Zbl 1223.47015
Aleksandrov, A. B.; Peller, V. V.
2010
The Lifshitz-Krein trace formula and operator Lipschitz functions. Zbl 1353.47023
Peller, V. V.
2016
Hankel operators and similarity to a contraction. Zbl 0871.47025
Aleksandrov, A. B.; Peller, V. V.
1996
An excursion into the theory of Hankel operators. Zbl 0998.47016
1998
Functions of perturbed operators. Zbl 1168.47011
2009
A description of Hankel operators of class $${\mathfrak S}_ p$$ for $$p>0$$, an investigation of the rate of rational approximation, and other applications. Zbl 0561.47022
Peller, V. V.
1985
Multiple operator integrals in perturbation theory. Zbl 1348.46048
Peller, V. V.
2016
Differentiability of functions of contractions. Zbl 1183.47009
Peller, V. V.
2009
Lipschitz functions of perturbed operators. Zbl 1169.47015
2009
Estimates of operator moduli of continuity. Zbl 1241.47006
Aleksandrov, A. B.; Peller, V. V.
2011
Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals. Zbl 1359.47012
Aleksandrov, A. B.; Nazarov, F. L.; Peller, V. V.
2016
Functions of perturbed $$n$$-tuples of commuting self-adjoint operators. Zbl 1312.47009
Nazarov, F. L.; Peller, V. V.
2014
Approximation by analytic matrix functions: The four block problem. Zbl 0977.47011
Peller, V. V.; Treil, S. R.
1997
An analogue of an inequality of J. von Neumann, isometric dilatation of contractions, and approximation by isometries in spaces of measurable functions. Zbl 0456.47011
Peller, V. V.
1981
Treatise on the shift operator. Spectral function theory. With an appendix by S. V. Khrushchev and V. V. Peller. Transl. from the Russian by Jaak Peetre. Zbl 0587.47036
Nikol’skij, N. K.
1986
Functional calculus for a pair of almost commuting selfadjoint operators. Zbl 0781.47024
1993
Smooth Hankel operators and their applications (the ideals $$S_ p,$$ Besov classes, and random processes). Zbl 0484.47011
Peller, V. V.
1980
Operator and commutator moduli of continuity for normal operators. Zbl 1262.47017
Aleksandrov, A. B.; Peller, V. V.
2012
Trace formulae for perturbations of class $$s_m$$. Zbl 1272.47020
Aleksandrov, Alexei B.; Peller, Vladimir V.
2011
Krein’s trace formula for unitary operators and operator Lipschitz functions. Zbl 1450.47009
Aleksandrov, A. B.; Peller, V. V.
2016
Functions of perturbed dissipative operators. Zbl 1250.47013
Aleksandrov, A. B.; Peller, V. V.
2012
Superoptimal singular values and indices of matrix functions. Zbl 0836.30026
Peller, V. V.; Young, N. J.
1994
Hankel operators and continuity properties of operators of best approximation. Zbl 0767.47010
Peller, V. V.
1990
An interesting class of operators with unusual Schatten-von Neumann behavior. Zbl 1023.47026
Aleksandrov, A. B.; Janson, S.; Peller, V. V.; Rochberg, R.
2002
When is a function of a Toeplitz operator close to a Toeplitz operator? Zbl 0721.47027
Peller, V. V.
1989
Analytic approximation of matrix functions in $$L^p$$. Zbl 1178.47018
Baratchart, L.; Nazarov, F. L.; Peller, V. V.
2009
Multiple operator integrals, Haagerup and Haagerup-like tensor products, and operator ideals. Zbl 1441.47022
Aleksandrov, A. B.; Peller, V. V.
2017
Hankel operators and continuity properties of operators of best approximation. Zbl 0714.47018
Peller, V. V.
1990
Wiener-Hopf operators on a finite interval and Schatten-von Neumann classes. Zbl 0692.47027
1988
Functions of perturbed noncommuting self-adjoint operators. (Fonctions d’opérateurs perturbés auto-adjoints ne commutant pas.) Zbl 1309.47009
Aleksandrov, Aleksei; Nazarov, Fedor; Peller, Vladimir
2015
Triple operator integrals in Schatten-von Neumann norms and functions of perturbed noncommuting operators. (Intégrales triples opératorielles en normes de Schatten-von Neumann et fonctions d’opérateurs perturbés ne commutant pas.) Zbl 1325.47033
Aleksandrov, Aleksei; Nazarov, Fedor; Peller, Vladimir
2015
Approximation by analytic operator-valued functions. Zbl 0836.47010
Peller, V. V.
1995
Superoptimal approximation by meromorphic functions. Zbl 0852.30022
Peller, V. V.; Young, N. J.
1996
Estimates of operator polynomials in the space $$L^ P$$ with respect to the multiplier norm. Zbl 0477.41021
Peller, V. V.
1981
Very badly approximable matrix functions. Zbl 1108.30026
Peller, V. V.; Treil, S. R.
2005
Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions. Zbl 06835367
Malamud, M. M.; Neidhardt, Hagen; Peller, V. V.
2017
A trace formula for functions of contractions and analytic operator Lipschitz functions. (Une formule de trace pour les fonctions de contraction et les fonctions analytiques opérateurs-lipschitziennes.) Zbl 1381.47008
Malamud, Mark; Neidhardt, Hagen; Peller, Vladimir
2017
Hankel operators and multivariate stationary processes. Zbl 0712.47020
1990
The behavior of functions of operators under perturbations. Zbl 1258.47023
Peller, V. V.
2010
Almost commuting functions of almost commuting self-adjoint operators. (Fonctions presque commutantes d’opérateurs auto-adjoint presque commutants.) Zbl 1316.47018
2015
Badly approximable matrix functions and canonical factorizations. Zbl 0996.47017
Alexeev, R. B.; Peller, V. V.
2000
Estimates of operator polynomials on the space $$L^p$$ with respect to the multiplier norm. Zbl 0357.41012
Peller, V. V.
1976
An analogue of an inequality of J. von Neumann, isometric dilation of contractions, and approximation by isometries in spaces of measurable functions. Zbl 0512.47008
Peller, V. V.
1983
Invariant subspaces of Toeplitz operators. Zbl 0514.47019
Peller, V. V.
1983
Functions of perturbed normal operators. Zbl 1195.42061
Aleksandrov, Aleksei; Peller, Vladimir; Potapov, Denis; Sukochev, Fedor
2010
Absolute continuity of spectral shift. Zbl 07004960
Malamud, M. M.; Neidhardt, H.; Peller, V. V.
2019
Boundedness properties of the operators of best approximation by analytic and meromorphic functions. Zbl 0770.30034
1992
Distorted Hankel integral operators. Zbl 1071.47029
Aleksandrov, A. B.; Peller, V. V.
2004
Functions of perturbed tuples of self-adjoint operators. (Fonctions d’uplets d’opérateurs autoadjoints perturbés.) Zbl 1248.47007
2012
Invariance properties of thematic factorizations of matrix functions. Zbl 0972.47010
Alexeev, R. B.; Peller, V. V.
2001
Factorization and approximation problems for matrix functions. Zbl 0903.47016
Peller, V. V.
1998
Superoptimal singular values and indices of infinite matrix functions. Zbl 0843.47007
Peller, V. V.; Treil, S. R.
1995
Construction of superoptimal approximants. Zbl 0874.93045
Peller, V. V.; Young, N. J.
1995
Continuity properties of best analytic approximation. Zbl 0890.47016
Peller, V. V.; Young, N. J.
1997
An analog of J. von Neumann’s inequality for the space $$L^p$$. Zbl 0394.47006
Peller, V. V.
1976
Nuclearity of Hankel operators. Zbl 0438.47032
Peller, V. V.
1979
Analytic approximation of rational matrix functions. Zbl 1142.41004
Peller, V. V.; Vasyunin, V. I.
2007
Functions of triples of noncommuting self-adjoint operators under perturbations of class $$\boldsymbol S_p$$. Zbl 06832225
Peller, V. V.
2018
Analytic approximation of matrix functions and dual extremal functions. Zbl 1158.30027
Peller, V. V.
2009
Metric properties of an averaging projection onto the set of Hankel matrices. Zbl 0598.47029
Peller, V. V.
1984
Rational approximation and smoothness of functions. Zbl 0609.41017
Peller, V. V.
1987
Spectrum, similarity, and invariant subspaces of Toeplitz operators. Zbl 0624.47017
Peller, V. V.
1987
Rational approximation in $$L^ p$$ and Faber transforms. Zbl 0631.41017
Peller, V. V.
1989
Continuity of the averaging projection onto the set of Hankel matrices. Zbl 0521.47013
1983
The inverse problem for selfadjoint Hankel operators. (Le problème inverse pour les opérateurs de Hankel autoadjoints.) Zbl 0796.47014
Megretskii, Alexander M.; Peller, Vladimir V.; Treil, Serguei R.
1993
Functions of commuting contractions under perturbation. Zbl 07066116
Peller, V. V.
2019
On S. Mazur’s problems 8 and 88 from the Scottish Book. Zbl 1127.47027
Peller, V. V.
2007
Approximations by isometries and V. I. Matsaev’s hypothesis for absolute contractions of the space $$L^p$$. Zbl 0405.47013
Peller, V. V.
1978
Rational approximation and the smoothness of functions. Zbl 0499.41013
Peller, V. V.
1982
Abschätzungen von Operatorpolynomen in symmetrischen Räumen. Ein Funktionalkalkül für absolute Kontraktionen. Zbl 0422.47014
Peller, V. V.
1979
Applications of ultraproducts in operator theory. A simple proof of E. Bishop’s theorem. Zbl 0429.47014
Peller, V. V.
1979
Estimates of operator polynomials in symmetric spaces. Functional calculus for absolute contraction operators. Zbl 0451.47005
Peller, V. V.
1979
Invariant subspaces of Toeplitz operators. Zbl 0557.47020
Peller, V. V.
1984
Hankel-Schur multipliers and multipliers in the space $$H^ 1$$. Zbl 0561.47023
Peller, V. V.
1984
Functions of almost commuting operators and an extension of the Helton-Howe trace formula. Zbl 1387.47012
Aleksandrov, A. B.; Peller, V. V.
2016
A remark on interpolation in spaces of vector-functions. Zbl 0564.46056
Peller, V. V.
1985
Absolute continuity of spectral shift. Zbl 07004960
Malamud, M. M.; Neidhardt, H.; Peller, V. V.
2019
Functions of commuting contractions under perturbation. Zbl 07066116
Peller, V. V.
2019
Functions of triples of noncommuting self-adjoint operators under perturbations of class $$\boldsymbol S_p$$. Zbl 06832225
Peller, V. V.
2018
Multiple operator integrals, Haagerup and Haagerup-like tensor products, and operator ideals. Zbl 1441.47022
Aleksandrov, A. B.; Peller, V. V.
2017
Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions. Zbl 06835367
Malamud, M. M.; Neidhardt, Hagen; Peller, V. V.
2017
A trace formula for functions of contractions and analytic operator Lipschitz functions. (Une formule de trace pour les fonctions de contraction et les fonctions analytiques opérateurs-lipschitziennes.) Zbl 1381.47008
Malamud, Mark; Neidhardt, Hagen; Peller, Vladimir
2017
Operator Lipschitz functions. Zbl 1356.26002
Aleksandrov, A. B.; Peller, V. V.
2016
The Lifshitz-Krein trace formula and operator Lipschitz functions. Zbl 1353.47023
Peller, V. V.
2016
Multiple operator integrals in perturbation theory. Zbl 1348.46048
Peller, V. V.
2016
Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals. Zbl 1359.47012
Aleksandrov, A. B.; Nazarov, F. L.; Peller, V. V.
2016
Krein’s trace formula for unitary operators and operator Lipschitz functions. Zbl 1450.47009
Aleksandrov, A. B.; Peller, V. V.
2016
Functions of almost commuting operators and an extension of the Helton-Howe trace formula. Zbl 1387.47012
Aleksandrov, A. B.; Peller, V. V.
2016
Functions of perturbed noncommuting self-adjoint operators. (Fonctions d’opérateurs perturbés auto-adjoints ne commutant pas.) Zbl 1309.47009
Aleksandrov, Aleksei; Nazarov, Fedor; Peller, Vladimir
2015
Triple operator integrals in Schatten-von Neumann norms and functions of perturbed noncommuting operators. (Intégrales triples opératorielles en normes de Schatten-von Neumann et fonctions d’opérateurs perturbés ne commutant pas.) Zbl 1325.47033
Aleksandrov, Aleksei; Nazarov, Fedor; Peller, Vladimir
2015
Almost commuting functions of almost commuting self-adjoint operators. (Fonctions presque commutantes d’opérateurs auto-adjoint presque commutants.) Zbl 1316.47018
2015
Functions of perturbed $$n$$-tuples of commuting self-adjoint operators. Zbl 1312.47009
Nazarov, F. L.; Peller, V. V.
2014
Operator and commutator moduli of continuity for normal operators. Zbl 1262.47017
Aleksandrov, A. B.; Peller, V. V.
2012
Functions of perturbed dissipative operators. Zbl 1250.47013
Aleksandrov, A. B.; Peller, V. V.
2012
Functions of perturbed tuples of self-adjoint operators. (Fonctions d’uplets d’opérateurs autoadjoints perturbés.) Zbl 1248.47007
2012
Functions of normal operators under perturbations. Zbl 1220.47018
Aleksandrov, A. B.; Peller, V. V.; Potapov, D. S.; Sukochev, F. A.
2011
Estimates of operator moduli of continuity. Zbl 1241.47006
Aleksandrov, A. B.; Peller, V. V.
2011
Trace formulae for perturbations of class $$s_m$$. Zbl 1272.47020
Aleksandrov, Alexei B.; Peller, Vladimir V.
2011
Operator Hölder-Zygmund functions. Zbl 1193.47017
Aleksandrov, A. B.; Peller, V. V.
2010
Functions of operators under perturbations of class $$S_p$$. Zbl 1196.47012
Aleksandrov, A. B.; Peller, V. V.
2010
Functions of perturbed unbounded self-adjoint operators. Operator Bernstein type inequalities. Zbl 1223.47015
Aleksandrov, A. B.; Peller, V. V.
2010
The behavior of functions of operators under perturbations. Zbl 1258.47023
Peller, V. V.
2010
Functions of perturbed normal operators. Zbl 1195.42061
Aleksandrov, Aleksei; Peller, Vladimir; Potapov, Denis; Sukochev, Fedor
2010
Functions of perturbed operators. Zbl 1168.47011
2009
Differentiability of functions of contractions. Zbl 1183.47009
Peller, V. V.
2009
Lipschitz functions of perturbed operators. Zbl 1169.47015
2009
Analytic approximation of matrix functions in $$L^p$$. Zbl 1178.47018
Baratchart, L.; Nazarov, F. L.; Peller, V. V.
2009
Analytic approximation of matrix functions and dual extremal functions. Zbl 1158.30027
Peller, V. V.
2009
Analytic approximation of rational matrix functions. Zbl 1142.41004
Peller, V. V.; Vasyunin, V. I.
2007
On S. Mazur’s problems 8 and 88 from the Scottish Book. Zbl 1127.47027
Peller, V. V.
2007
Multiple operator integrals and higher operator derivatives. Zbl 1102.46024
Peller, V. V.
2006
An extension of the Koplienko–Neidhardt trace formulae. Zbl 1067.47019
Peller, V. V.
2005
Very badly approximable matrix functions. Zbl 1108.30026
Peller, V. V.; Treil, S. R.
2005
Distorted Hankel integral operators. Zbl 1071.47029
Aleksandrov, A. B.; Peller, V. V.
2004
Hankel operators and their applications. Zbl 1030.47002
2003
Hankel and Toeplitz-Schur multipliers. Zbl 1030.47019
Aleksandrov, A. B.; Peller, V. V.
2002
An interesting class of operators with unusual Schatten-von Neumann behavior. Zbl 1023.47026
Aleksandrov, A. B.; Janson, S.; Peller, V. V.; Rochberg, R.
2002
Invariance properties of thematic factorizations of matrix functions. Zbl 0972.47010
Alexeev, R. B.; Peller, V. V.
2001
Badly approximable matrix functions and canonical factorizations. Zbl 0996.47017
Alexeev, R. B.; Peller, V. V.
2000
An excursion into the theory of Hankel operators. Zbl 0998.47016
1998
Factorization and approximation problems for matrix functions. Zbl 0903.47016
Peller, V. V.
1998
Approximation by analytic matrix functions: The four block problem. Zbl 0977.47011
Peller, V. V.; Treil, S. R.
1997
Continuity properties of best analytic approximation. Zbl 0890.47016
Peller, V. V.; Young, N. J.
1997
Hankel operators and similarity to a contraction. Zbl 0871.47025
Aleksandrov, A. B.; Peller, V. V.
1996
Superoptimal approximation by meromorphic functions. Zbl 0852.30022
Peller, V. V.; Young, N. J.
1996
The inverse spectral problem for selfadjoint Hankel operators. Zbl 0865.47015
Megretski, A. V.; Peller, V. V.; Treil, S. R.
1995
Approximation by analytic operator-valued functions. Zbl 0836.47010
Peller, V. V.
1995
Superoptimal singular values and indices of infinite matrix functions. Zbl 0843.47007
Peller, V. V.; Treil, S. R.
1995
Construction of superoptimal approximants. Zbl 0874.93045
Peller, V. V.; Young, N. J.
1995
Superoptimal analytic approximations of matrix functions. Zbl 0808.47011
Peller, V. V.; Young, N. J.
1994
Superoptimal singular values and indices of matrix functions. Zbl 0836.30026
Peller, V. V.; Young, N. J.
1994
Functional calculus for a pair of almost commuting selfadjoint operators. Zbl 0781.47024
1993
The inverse problem for selfadjoint Hankel operators. (Le problème inverse pour les opérateurs de Hankel autoadjoints.) Zbl 0796.47014
Megretskii, Alexander M.; Peller, Vladimir V.; Treil, Serguei R.
1993
Boundedness properties of the operators of best approximation by analytic and meromorphic functions. Zbl 0770.30034
1992
Hankel operators in the perturbation theory of unbounded self-adjoint operators. Zbl 0716.47015
1990
Hankel operators and continuity properties of operators of best approximation. Zbl 0767.47010
Peller, V. V.
1990
Hankel operators and continuity properties of operators of best approximation. Zbl 0714.47018
Peller, V. V.
1990
Hankel operators and multivariate stationary processes. Zbl 0712.47020
1990
When is a function of a Toeplitz operator close to a Toeplitz operator? Zbl 0721.47027
Peller, V. V.
1989
Rational approximation in $$L^ p$$ and Faber transforms. Zbl 0631.41017
Peller, V. V.
1989
Wiener-Hopf operators on a finite interval and Schatten-von Neumann classes. Zbl 0692.47027
1988
Rational approximation and smoothness of functions. Zbl 0609.41017
Peller, V. V.
1987
Spectrum, similarity, and invariant subspaces of Toeplitz operators. Zbl 0624.47017
Peller, V. V.
1987
Treatise on the shift operator. Spectral function theory. With an appendix by S. V. Khrushchev and V. V. Peller. Transl. from the Russian by Jaak Peetre. Zbl 0587.47036
Nikol&rsquo;skij, N. K.
1986
Hankel operators in the perturbation theory of unitary and self-adjoint operators. Zbl 0587.47016
Peller, V. V.
1985
A description of Hankel operators of class $${\mathfrak S}_ p$$ for $$p>0$$, an investigation of the rate of rational approximation, and other applications. Zbl 0561.47022
Peller, V. V.
1985
A remark on interpolation in spaces of vector-functions. Zbl 0564.46056
Peller, V. V.
1985
Metric properties of an averaging projection onto the set of Hankel matrices. Zbl 0598.47029
Peller, V. V.
1984
Invariant subspaces of Toeplitz operators. Zbl 0557.47020
Peller, V. V.
1984
Hankel-Schur multipliers and multipliers in the space $$H^ 1$$. Zbl 0561.47023
Peller, V. V.
1984
An analogue of an inequality of J. von Neumann, isometric dilation of contractions, and approximation by isometries in spaces of measurable functions. Zbl 0512.47008
Peller, V. V.
1983
Invariant subspaces of Toeplitz operators. Zbl 0514.47019
Peller, V. V.
1983
Continuity of the averaging projection onto the set of Hankel matrices. Zbl 0521.47013
1983
Hankel operators, best approximations, and stationary Gaussian processes. Zbl 0505.60043
Peller, V. V.; Khrushchev, S. V.
1982
Hankel operators of class $$S_ p$$ and their applications (rational approximation, Gaussian processes, the problem of majorizing operators). Zbl 0478.47015
Peller, V. V.
1982
Vectorial Hankel operators, commutators and related operators of the Schatten - von Neumann class $$S_ p$$. Zbl 0478.47014
1982
Estimates of functions of power bounded operators on Hilbert spaces. Zbl 0485.47007
1982
Hankel operators, best approximations, and stationary Gaussian processes. Zbl 0497.60033
Peller, V. V.; Khrushchev, S. V.
1982
Rational approximation and the smoothness of functions. Zbl 0499.41013
Peller, V. V.
1982
An analogue of an inequality of J. von Neumann, isometric dilatation of contractions, and approximation by isometries in spaces of measurable functions. Zbl 0456.47011
Peller, V. V.
1981
Estimates of operator polynomials in the space $$L^ P$$ with respect to the multiplier norm. Zbl 0477.41021
Peller, V. V.
1981
Hankel operators of class $$S_ p$$ and their applications (rationalapproximation, Gaussian processes, majorizations problem of operators). Zbl 0458.47022
Peller, V. V.
1980
Smooth Hankel operators and their applications (the ideals $$S_ p,$$ Besov classes, and random processes). Zbl 0484.47011
Peller, V. V.
1980
Nuclearity of Hankel operators. Zbl 0438.47032
Peller, V. V.
1979
Abschätzungen von Operatorpolynomen in symmetrischen Räumen. Ein Funktionalkalkül für absolute Kontraktionen. Zbl 0422.47014
Peller, V. V.
1979
Applications of ultraproducts in operator theory. A simple proof of E. Bishop’s theorem. Zbl 0429.47014
Peller, V. V.
1979
Estimates of operator polynomials in symmetric spaces. Functional calculus for absolute contraction operators. Zbl 0451.47005
Peller, V. V.
1979
Approximations by isometries and V. I. Matsaev’s hypothesis for absolute contractions of the space $$L^p$$. Zbl 0405.47013
Peller, V. V.
1978
Estimates of operator polynomials on the space $$L^p$$ with respect to the multiplier norm. Zbl 0357.41012
Peller, V. V.
1976
An analog of J. von Neumann’s inequality for the space $$L^p$$. Zbl 0394.47006
Peller, V. V.
1976
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### Cited by 567 Authors

 52 Peller, Vladimir Vsevolodovich 37 Sukochev, Fedor Anatol’evich 20 Aleksandrov, Aleksei B. 17 Potapov, Denis 15 Pushnitski, Alexander B. 15 Yafaev, Dimitri R. 13 Zanin, Dmitriy V. 9 Gerard, Patrick 9 Hwang, In Sung 9 Le Merdy, Christian 9 Skripka, Anna 8 Blower, Gordon 8 Malamud, Mark M. 8 Todorov, Ivan G. 7 McDonald, Edward Andrew 7 Mirotin, Adol’f Rubimovich 7 Nazarov, Fedor L. 7 Timotin, Dan 6 Baratchart, Laurent 6 Coine, Clement 6 Grellier, Sandrine 6 Lee, Woo Young 6 Neidhardt, Hagen 6 Rybkin, Alexei 6 Tomilov, Yuri 6 Tomskova, Anna 6 Turowska, Lyudmila B. 5 Andersson, Fredrik K. 5 Carlsson, Marcus 5 Garcia, Stephan Ramon 5 Gesztesy, Fritz 5 Gu, Caixing 5 Kang, Dong-Oh 5 Ricard, Éric 5 Rochberg, Richard 5 Wu, Zhijian 5 Young, Nicholas John 5 Zarouf, Rachid 4 Bessonov, Roman V. 4 Bingham, Nicholas Hugh 4 Caspers, Martijn 4 Chattopadhyay, Arup 4 Cheng, Ray 4 Curto, Raúl Enrique 4 Ding, Xuanhao 4 Engliš, Miroslav 4 Frank, Rupert L. 4 García-Bayona, Ismael 4 Gombani, Andrea 4 Grudsky, Sergei Mikhailovich 4 Inoue, Akihiko 4 Janson, Svante 4 Jocić, Danko R. 4 Kasahara, Yukio 4 Pavon, Michele 4 Peng, Lizhong 4 Perfekt, Karl-Mikael 4 Shul’man, Viktor Semënovich 4 Silbermann, Bernd 4 Treil, Sergei 4 Xia, Jingbo 3 Agler, Jim 3 Aleman, Alexandru 3 Baranov, Anton D. 3 Blasco, Oscar 3 Brevig, Ole Fredrik 3 Carey, Alan L. 3 Condori, Alberto A. 3 Constantin, Olivia 3 Didenko, Victor D. 3 Eisner, Tanja 3 Fang, Quanlei 3 Farforovskaya, Yuliya B. 3 Gheondea, Aurelian 3 Golinskii, Leonid Borisovich 3 Kim, Sumin 3 Leśnik, Karol 3 Magajna, Bojan 3 Miheisi, Nazar 3 Müller, Vladimír 3 Nikolskaya, Ludmila N. 3 Pandey, Shesh Kumar 3 Pickrell, Doug 3 Pisier, Gilles 3 Pourahmadi, Mohsen 3 Putinar, Mihai 3 Qian, Tao 3 Qin, Yueshi 3 Ray, Samya Kumar 3 Semmes, Stephen W. 3 Vitse, Pascale 3 Wick, Brett D. 3 Zhang, Genkai 2 Abakumov, Evgeny V. 2 Arlins’kyĭ, Yuriĭ Moĭseĭovych 2 Azamov, Nurulla A. 2 Basor, Estelle L. 2 Batty, Charles J. K. 2 Bikchentaev, Aĭrat Midkhatovich 2 Chalendar, Isabelle ...and 467 more Authors
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### Cited in 159 Serials

 86 Journal of Functional Analysis 46 Integral Equations and Operator Theory 31 Journal of Mathematical Analysis and Applications 22 Proceedings of the American Mathematical Society 19 Advances in Mathematics 18 Journal of Soviet Mathematics 17 Linear Algebra and its Applications 15 Transactions of the American Mathematical Society 15 Journal of Mathematical Sciences (New York) 14 Complex Analysis and Operator Theory 12 Mathematical Notes 12 Journal of Approximation Theory 10 Functional Analysis and its Applications 10 Comptes Rendus. Mathématique. Académie des Sciences, Paris 9 St. Petersburg Mathematical Journal 8 Communications in Mathematical Physics 8 Studia Mathematica 7 Operators and Matrices 5 Arkiv för Matematik 5 Archiv der Mathematik 5 Banach Journal of Mathematical Analysis 4 Journal d’Analyse Mathématique 4 Journal of Mathematical Physics 4 Annales de l’Institut Fourier 4 Journal of Multivariate Analysis 4 Mathematische Annalen 4 Mathematika 4 Systems & Control Letters 3 Israel Journal of Mathematics 3 Linear and Multilinear Algebra 3 Automatica 3 Mathematische Zeitschrift 3 Monatshefte für Mathematik 3 Journal of the American Mathematical Society 3 MCSS. Mathematics of Control, Signals, and Systems 3 Bulletin des Sciences Mathématiques 3 Journal of Spectral Theory 3 Concrete Operators 2 Mathematical Proceedings of the Cambridge Philosophical Society 2 Rocky Mountain Journal of Mathematics 2 Acta Mathematica 2 Applied Mathematics and Computation 2 Czechoslovak Mathematical Journal 2 Duke Mathematical Journal 2 Inventiones Mathematicae 2 Mathematische Nachrichten 2 Results in Mathematics 2 Ergodic Theory and Dynamical Systems 2 Probability Theory and Related Fields 2 Constructive Approximation 2 SIAM Journal on Mathematical Analysis 2 Russian Mathematics 2 Annales Mathématiques Blaise Pascal 2 Filomat 2 Opuscula Mathematica 2 The Journal of Fourier Analysis and Applications 2 Documenta Mathematica 2 Abstract and Applied Analysis 2 Journal of Inequalities and Applications 2 Acta Mathematica Sinica. English Series 2 Computational Methods and Function Theory 2 Journal of the Institute of Mathematics of Jussieu 2 Journal of Function Spaces and Applications 2 Mediterranean Journal of Mathematics 2 Proceedings of the Steklov Institute of Mathematics 2 Probability Surveys 2 Analysis and Mathematical Physics 2 Bulletin of Mathematical Sciences 2 Séminaire Laurent Schwartz. EDP et Applications 2 Advances in Operator Theory 1 Advances in Applied Probability 1 Computers & Mathematics with Applications 1 Journal of the Franklin Institute 1 Nonlinearity 1 Reports on Mathematical Physics 1 Stochastics 1 Mathematics of Computation 1 Reviews in Mathematical Physics 1 Journal of Geometry and Physics 1 The Annals of Probability 1 The Annals of Statistics 1 Bulletin of the London Mathematical Society 1 Canadian Mathematical Bulletin 1 Collectanea Mathematica 1 Dissertationes Mathematicae 1 Hokkaido Mathematical Journal 1 Journal of Computational and Applied Mathematics 1 Journal of the London Mathematical Society. Second Series 1 Journal für die Reine und Angewandte Mathematik 1 Memoirs of the American Mathematical Society 1 Numerical Functional Analysis and Optimization 1 Proceedings of the Edinburgh Mathematical Society. Series II 1 Proceedings of the London Mathematical Society. Third Series 1 Quaestiones Mathematicae 1 Real Analysis Exchange 1 Rendiconti del Circolo Matemàtico di Palermo. Serie II 1 Semigroup Forum 1 Siberian Mathematical Journal 1 Tohoku Mathematical Journal. Second Series 1 Zeitschrift für Analysis und ihre Anwendungen ...and 59 more Serials
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### Cited in 45 Fields

 451 Operator theory (47-XX) 165 Functional analysis (46-XX) 98 Functions of a complex variable (30-XX) 52 Linear and multilinear algebra; matrix theory (15-XX) 42 Harmonic analysis on Euclidean spaces (42-XX) 40 Partial differential equations (35-XX) 30 Probability theory and stochastic processes (60-XX) 29 Approximations and expansions (41-XX) 25 Several complex variables and analytic spaces (32-XX) 21 Dynamical systems and ergodic theory (37-XX) 21 Systems theory; control (93-XX) 19 Quantum theory (81-XX) 12 Ordinary differential equations (34-XX) 11 Statistics (62-XX) 10 Abstract harmonic analysis (43-XX) 10 Numerical analysis (65-XX) 8 Global analysis, analysis on manifolds (58-XX) 7 Integral equations (45-XX) 6 Topological groups, Lie groups (22-XX) 6 Special functions (33-XX) 5 Combinatorics (05-XX) 5 Real functions (26-XX) 5 Measure and integration (28-XX) 4 Difference and functional equations (39-XX) 4 Integral transforms, operational calculus (44-XX) 4 Computer science (68-XX) 4 Information and communication theory, circuits (94-XX) 3 General topology (54-XX) 2 Number theory (11-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 2 Statistical mechanics, structure of matter (82-XX) 1 History and biography (01-XX) 1 Algebraic geometry (14-XX) 1 Associative rings and algebras (16-XX) 1 Nonassociative rings and algebras (17-XX) 1 Category theory; homological algebra (18-XX) 1 $$K$$-theory (19-XX) 1 Group theory and generalizations (20-XX) 1 Calculus of variations and optimal control; optimization (49-XX) 1 Geometry (51-XX) 1 Differential geometry (53-XX) 1 Operations research, mathematical programming (90-XX) 1 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 1 Biology and other natural sciences (92-XX)