Journal of Operator Theory

Volume 62, Issue 1, Summer 2009 pp. 151-158.

Almost-orthogonality in the Schatten-von Neumann classes

Authors: Anthony Carbery
Author institution: School of Mathematics and Maxwell Institute for Mathematical Sciences, University of Edinburgh, JCMB, King's Buildings, Mayfield Road, Edinburgh, EH9 3JZ, Scotland

Summary: We consider criteria for a sum of operators in the Schatten--von Neumann class $\mathcal{C}_p$ to be in the same class. These criteria are expressed as almost-orthogonality conditions. We also pose some open questions related to this work.

Keywords: Almost-orthogonality, Schatten--von Neumann class, multilinear interpolation.

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