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Operator-Lipschitz functions in Schatten-von Neumann classes by Potapov, Denis; Sukochev, Fedor is a scholarly article available to read on EtoBox.

What is Operator-Lipschitz functions in Schatten-von Neumann classes about?

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.

Author

Potapov, Denis; Sukochev, Fedor

Published

2009

Language

EN