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Operator-Lipschitz functions in Schatten–von Neumann classes

Acta Mathematica, 2011
This paper resolves a number of conjectures in the perturbation theory of linear operators. Namely, we prove that every Lipschitz function is operator Lipschitz in the Schatten-von Neumann ideals $S^α$, $1 < α< \infty$. The negative result for $S^α$, $α= 1, \infty$ was earlier established by Yu. Farforovskaya in 1972.
Fedor Sukochev, Denis Potapov
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Berezin Symbols and Schatten--Von Neumann Classes

Mathematical Notes, 2002
This paper deals with the description of the Schatten-von Neumann classes in terms of Berezin symbols. In terms of Berezin symbols, the author presents several criteria for operators to belong to the Schatten-von Neumann class \({\mathcal S}_p\). In particular, for functions of model operators, he gives a complete answer to a question posed by Nordgren
M T Karaev
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A Schatten–Von Neumann Class Criterion for the Magnetic Weyl Calculus [PDF]

Communications in Partial Differential Equations, 2018
We prove criteria for a {\it 'magnetic' Weyl operator} to be in a Schatten-von Neuman class by extending a method developed by H. Cordes, T. Kato and G. Arsu.
Radu Purice
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The Schatten–Von Neumann Classes

Abstract We here present the very beautiful and elegant theory of Schatten-von Neumann classes. From a historical perspective this theory represents the first cycle of results about noncommutative Lp-spaces, and as such has served as the catalyst for the extension of the theory to first semifinite, and then later general von Neumann ...
Louis Labuschagne, Stanisław Goldstein
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On Extrapolation Properties of Schatten–Von Neumann Classes

Functional Analysis and Its Applications, 2018
zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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The Schatten–Von Neumann Class Associated With the Gabor–Riemann–Liouville Operator

Periodica Mathematica Hungarica, 2021
The localization operators were introduced by \textit{I. Daubechies} [IEEE Trans. Inf. Theory 34, No. 4, 605--612 (1988; Zbl 0672.42007)]. She highlighted the role of these operators in localizing a signal simultaneously in time and frequency; this can be seen as an uncertainty principle. Nowadays, localization operators have found many applications in
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