Journal of Operator Theory

Volume 58, Issue 1, Summer 2007 pp. 63-82.

Functions acting on symmetrically normed ideals and on the domains of derivations on these ideals

Authors: E. Kissin (1) and V.S. Shulman (2)
Author institution: (1) Department of Computing, Communications Technology and Mathematics, London Metropolitan University, 166-220 Holloway Road, London N7 8DB, Great Britain
(2) Department of Mathematics, Vologda State Technical University, Vologda, Russia

Summary: In this paper we study ''scalar'' and ''operator'' smoothness conditions for functions to act on symmetrically normed ideals of $B(H)$ and on the domains of weakly* closed derivations of these ideals.

Keywords: Symmetrically normed ideals, $*$-derivations, J-Lipschitz functions

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