Operator-Lipschitz functions in Schatten-von Neumann classes

Details Operator-Lipschitz functions in Schatten-von Neumann classes Operator-Lipschitz functions in Schatten-von Neumann classes

2009-04-27

arxiv.org/abs/0904.4095v3

Mathematics

Functional Analysis

In comparison to the previous version, the whole new section is introduced in order to resolve the continuous case. A number o

Scientific paper

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 $S^\alpha$, $1 < \alpha < \infty$.
The negative result for $S^\alpha$, $\alpha = 1, \infty$ was earlier
established by Yu. Farforovskaya in 1972.

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