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Lipschitz functions of self-adjoint operators in perturbation theory
Journal of Soviet Mathematics, 1987Let H be a Hilbert space, and A a fixed bounded self-adjoint operator on H. In this note it is shown that the inequality \(\| f(A)-f(B)\| \leq c_ f\| A-B\|\) holds for each differentiable function f and each bounded self-adjoint operator B with a constant \(c_ f\) depending only on f if and only if the spectrum \(\sigma\) (A) of A is a finite set.
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Composition operators on spaces of Lipschitz functions
Acta Scientiarum Mathematicarum, 2011Fernanda Botelho, James Jamison
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Compact Composition Operators on Noncompact Lipschitz Spaces
Journal of Mathematical Analysis and Applications, 2013Jiménez Vargas, Antonio +1 more
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Multiplication Operators Between the Lipschitz Space and the Space of Bounded Functions on a Tree
Mediterranean Journal of Mathematics, 2012Flavia Colonna, Glenn Easley
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Analytic Operator Lipschitz Functions in the Disk and a Trace Formula for Functions of Contractions
Functional Analysis and Its Applications, 2017Vladimir V. Peller +2 more
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Convolution Singular Integral Operators on Lipschitz Curves
Lecture Notes in Mathematics, 1991Alan McIntosh
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Lipschitz-Type Bounds for Functions of Operators with Noncompact Perturbations
2022openaire +1 more source
Weighted Composition Operators Between Vector-Valued Lipschitz Function Spaces
Banach Journal of Mathematical Analysis, 2013exaly
A Pre-Adjoint Approach on Weighted Composition Operators Between Spaces of Lipschitz Functions
Results in MathematicsColin Petitjean +2 more
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