Besov spaces in operator theory (Q6582268)

scientific article; zbMATH DE number 7891391

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English	Besov spaces in operator theory	scientific article; zbMATH DE number 7891391

Statements

instance of

scholarly article

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title

Besov spaces in operator theory (English)

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author

Vladimir V. Peller

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published in

Russian Mathematical Surveys

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publication date

2 August 2024

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zbMATH Keywords

Besov spaces

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Hankel operators

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Schatten-von Neumann classes

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Schur multipliers

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power bounded operators

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projective tensor products

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injective tensor products

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perturbations of linear operators

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self-adjoint operators

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double operator integrals

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triple operator integrals

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Functions of noncommuting self-adjoint operators under perturbation and estimates of triple operator integrals

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Operator Hölder-Zygmund functions

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Functions of operators under perturbations of class $S_p$

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Functions of perturbed unbounded self-adjoint operators. Operator Bernstein type inequalities

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Trace formulae for perturbations of class $s_m$

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Functions of perturbed dissipative operators

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Krein's trace formula for unitary operators and operator Lipschitz functions

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Operator Lipschitz functions

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Functions of almost commuting operators and an extension of the Helton-Howe trace formula

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Multiple operator integrals, Haagerup and Haagerup‐like tensor products, and operator ideals

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Functions of perturbed commuting dissipative operators

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Functions of perturbed pairs of noncommutative dissipative operators

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Functions of pairs of unbounded noncommuting self-adjoint operators under perturbation

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Functions of perturbed noncommuting unbounded selfadjoint operators

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Functions of normal operators under perturbations

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Research Problems in Complex Analysis

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Operator Integrals, Spectral Shift, and Spectral Flow

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The theory of Besov functional calculus: developments and applications to semigroups

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Mosaics, principal functions, and mean motion in von Neumann algebras

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Q3234764

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On a Factorization Problem for Convergent Sequences and on Hankel Forms in Bounded Sequences

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Transference principles for semigroups and a theorem of Peller

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Q3213739

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Q5641849

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Multidimensional operator multipliers

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On a problem of J. P. Williams

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Classes of operator-smooth functions. II: Operator-differentiable functions

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CLASSES OF OPERATOR-SMOOTH FUNCTIONS. I. OPERATOR-LIPSCHITZ FUNCTIONS

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On fully operator Lipschitz functions

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Trace formula for nontrace-class perturbations

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Q5823806

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Q5584902

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Q3769458

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Zur Theorie der Elimination einer Variabeln aus zwei algebraischen Gleichungen.

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Q3874458

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Eine Erweiterung der Spurformel der Störungstheorie

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A power-bounded operator that is not polynomially bounded

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Q4896037

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Q5810968

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Trace formulas for additive and non-additive perturbations

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Analytic operator Lipschitz functions in the disk and a trace formula for functions of contractions

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Absolute continuity of spectral shift

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The Scottish Book

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Lipschitz estimates in quasi-Banach Schatten ideals

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Functions of perturbed $n$-tuples of commuting self-adjoint operators

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Spectral Shift Function and Hilbert-Schmidt Perturbation: Extensions of Some Work of L. S. Koplienko

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Hölder functions are operator-Hölder

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Operators, functions, and systems: an easy reading. Volume I: Hardy, Hankel, and Toeplitz. Transl. from the French by Andreas Hartmann

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Q4064526

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Q4129323

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CLASSES OF ANALYTIC FUNCTIONS DETERMINED BY BEST RATIONAL APPROXIMATIONS IN $ H_p$

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Some remarks on Toeplitz multipliers and Hankel matrices

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HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ AND THEIR APPLICATIONS (RATIONAL APPROXIMATION, GAUSSIAN PROCESSES, THE PROBLEM OF MAJORIZING OPERATORS)

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Q3945080

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A DESCRIPTION OF HANKEL OPERATORS OF CLASS $ \mathfrak{S}_p$ FOR $ p>0$, AN INVESTIGATION OF THE RATE OF RATIONAL APPROXIMATION, AND OTHER APPLICATIONS

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Hankel operators in the perturbation theory of unitary and self-adjoint operators

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Q3784668

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Wiener-Hopf Operators on a Finite Interval and Schatten-Von Neumann Classes

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Q3203580

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Functional calculus for a pair of almost commuting selfadjoint operators

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An extension of the Koplienko--Neidhardt trace formulae

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Q4796283

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Multiple operator integrals and higher operator derivatives

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On S. Mazur's problems 8 and 88 from the Scottish Book

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Differentiability of functions of contractions

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The Lifshitz-Krein trace formula and operator Lipschitz functions

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Multiple operator integrals in perturbation theory

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Functions of triples of noncommuting self-adjoint operators under perturbations of class $\boldsymbol {S}_p$

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Functions of commuting contractions under perturbation

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Hankel operators, best approximations, and stationary Gaussian processes

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Commutators and systems of singular integral equations. I

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Spectral shift function of higher order

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Higher‐order spectral shift for contractions

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Functions of unitary operators: derivatives and trace formulas

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Operator-Lipschitz functions in Schatten-von Neumann classes

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Koplienko spectral shift function on the unit circle

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Q5733835

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Toeplitz and Hankel operators on the Paley-Wiener space

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The absolute continuity of Toeplitz's matrices

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THE SPECTRAL SHIFT FUNCTION FOR A DISSIPATIVE AND A SELFADJOINT OPERATOR, AND TRACE FORMULAS FOR RESONANCES

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Trace for the pair of a contraction and a unitary operator

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The discrete and the singular spectrum in the trace formula for contracting and unitary operators

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THE SPECTRAL SHIFT FUNCTION, THE CHARACTERISTIC FUNCTION OF A CONTRACTION, AND A GENERALIZED INTEGRAL

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Q5528072

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Trace ideal criteria for Hankel operators, and applications to Besov spaces

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Q5539945

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Q3336199

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A Besov class functional calculus for bounded holomorphic semigroups

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Q3920204

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Mathematics(1 entry)

mardi Publication:6582268