This is an announcement for the paper "Frechet differentiability of Sp norms" by Denis Potapov and Fedor Sukochev.

Abstract: One of the long standing questions in the theory of Schatten-von Neumann ideals of compact operators is whether their norms have the same differentiability properties as the norms of their commutative counterparts. We answer this question in the affirmative. A key technical observation underlying our proof is a discovery of connection between this question and recent affirmative resolution of L.S. Koplienko's conjecture concerning existence of higher order spectral shift functions.

Archive classification: math.FA

Submitted from: d.potapov@unsw.edu.au

The paper may be downloaded from the archive by web browser from URL

http://front.math.ucdavis.edu/1306.0362

or

http://arXiv.org/abs/1306.0362