Results 191 to 200 of about 6,536,345 (211)

Operator Lipschitz Functions and Linear Fractional Transformations

Journal of Mathematical Sciences, 2013
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Alexei Borisovich Aleksandrov
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Commutators of Bilinear Pseudodifferential Operators and Lipschitz Functions

Journal of Fourier Analysis and Applications, 2016
For a given pseudodifferential operator \(T\) and a function \(a\), the commutator \([T,a]\) is given by \[ [T,a] (f) = T (af) - a T(f). \] Continuity properties of such commutators are intensively studied for different symbol classes of the operator \(T\) and different function spaces as their domains (\(a\) usually being of a Lipschitz class).
Bényi, Árpád, Naibo, Virginia
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Some Remarks Concerning Operator Lipschitz Functions

Journal of Mathematical Sciences, 2020
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Operator Lipschitz Functions and Model Spaces

Journal of Mathematical Sciences, 2014
Let \(\mathcal{B}(H)\) denote the algebra of all bounded operators on an infinite-dimen\-sional Hilbert space \(H\). The space \(\mathrm{OL}(\mathbb{R})\) of operator Lipschitz functions consists of \(f\in C(\mathbb{R})\) such that \[ \|f(A_1)- f(A_2)\|\leq c \|A_1 - A_2\| \] for a constant \(c>0\) and all self-adjoint operators \(A_1, A_2\in \mathcal ...
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Lipschitz Continuity of Functions of Operators in the Schatten Classes

Journal of the London Mathematical Society, 1988
Let \({\mathcal I}\) be the class of functions f:\({\mathbb{R}}\to {\mathbb{R}}\) of the form \[ f(u)=au+b\int^{-\infty}(u-s)\mu (ds), \] where \(\mu\) is a signed measure of compact support and a, b are real numbers.
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RELATIVELY OPERATOR LIPSCHITZ FUNCTIONS OF DISSIPATIVE OPERATORS

Доклады Российской академии наук. Математика, информатика, процессы управления / Doklady Mathematics
In this note we study the behaviour of functions of maximal dissipative operators under relatively bounded and relatively trace class perturbations. We introduce the class of analytic relatively operator Lipschitz functions.We obtain a formula for the derivative in the strong operator topology in the parameter of functions of one-parametric families of
A.B. Aleksandrov, V.V. Peller
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Extension of Operator Lipschitz and Commutator Bounded Functions

2007
Let (B(H) ‖·‖) be the algebra of all bounded operators on an infinite-dimensional Hilbert space H. Let B(H)sa be the set of all selfadjoint operators in B(H). Throughout the paper we denote by α a compact subset of ℝ and by B(H)sa(α) the set of all operators in B(H)sa with spectrum in α: $$ B(H)_{sa} (\alpha ) = \{ A = A^* \in B(H): Sp(A) \subseteq
Edward Kissin, Victor S. Shulman, Lyudmila B. Turowska   +2 more
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On Substitutions with a Weight in the Space of Operator Lipschitz Functions

Journal of Mathematical Sciences
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Operator Lipschitz Functions in Several Variables and Möbius Transformations

Journal of Mathematical Sciences, 2015
From the introduction: In [ibid. 194, No. 6, 603--627 (2013); translation from Zap. Nauchn. Sem. POMI 401, 5--52 (2012; Zbl 1477.47014)], the author proved that the class of operator Lipschitz functions is invariant with respect to weighted linear fractional substitutions.
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Approximation of Lipschitz functions by sampling operators

Georgian Mathematical Journal
Abstract We establish a characterization of the rate of approximation of the generalized sampling operator for Lipschitz functions. Our primary goal is to weaken assumptions on the kernel of the sampling operator in order to be able to cover cases to which the already known general theorems are not applicable.
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