Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals

Formisano, Teresa and Kissin, Edward (2014) Clarkson-McCarthy inequalities for l p -spaces of operators in Schatten ideals. Integral Equations and Operator Theory, 79 (2). pp. 151-173. ISSN 0378-620X

Abstract

In this paper we obtain generalized Clarkson-McCarthy inequalities for spaces lq(Sp) of operators from Schatten ideals Sp. We show that all Clarkson-McCarthy type inequalities are, in fact, some estimates on the norms of operators acting on the spaces lq(Sp) or from one such space into another. We also extend some inequalities for partitioned operators and for Cartesian decomposition of operators.

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