Abstract
In this paper we obtain generalized Clarkson–McCarthy inequalities for spaces l q (S p) of operators from Schatten ideals S p. We show that all Clarkson–McCarthy type inequalities are, in fact, some estimates on the norms of operators acting on the spaces l q (S p) 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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Formisano, T., Kissin, E. Clarkson–McCarthy Inequalities for l p -Spaces of Operators in Schatten Ideals. Integr. Equ. Oper. Theory 79, 151–173 (2014). https://doi.org/10.1007/s00020-014-2145-x
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DOI: https://doi.org/10.1007/s00020-014-2145-x