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Lipschitz functions of self-adjoint operators in perturbation theory

Journal of Soviet Mathematics, 1987
Let 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.
openaire   +1 more source

Composition operators on spaces of Lipschitz functions

Acta Scientiarum Mathematicarum, 2011
Fernanda Botelho, James Jamison
openaire   +1 more source

Compact Composition Operators on Noncompact Lipschitz Spaces

Journal of Mathematical Analysis and Applications, 2013
JimĂ©nez Vargas, Antonio   +1 more
exaly  

Multiplication Operators Between the Lipschitz Space and the Space of Bounded Functions on a Tree

Mediterranean Journal of Mathematics, 2012
Flavia Colonna, Glenn Easley
exaly  

Analytic Operator Lipschitz Functions in the Disk and a Trace Formula for Functions of Contractions

Functional Analysis and Its Applications, 2017
Vladimir V. Peller   +2 more
exaly  

Lipschitz Functions

Lecture Notes in Mathematics, 2019
Stefan Cobzas   +2 more
exaly  

Convolution Singular Integral Operators on Lipschitz Curves

Lecture Notes in Mathematics, 1991
Alan McIntosh
exaly  

A Pre-Adjoint Approach on Weighted Composition Operators Between Spaces of Lipschitz Functions

Results in Mathematics
Colin Petitjean   +2 more
exaly  

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