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arXiv · 1711.08906

Measures of weak non-compactness in spaces of nuclear operators

Jan Hamhalter·Ondřej F. K. Kalenda
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Abstract

We show that in the space of nuclear operators from $\ell^q(\Lambda)$ to $\ell^p(J)$ the two natural ways of measuring weak non-compactness coincide. We also provide explicit formulas for these measures. As a consequence the same is proved for preduals of atomic von Neumann algebras.

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Jan Hamhalter, Ondřej F. K. Kalenda. 2017-11-24. Measures of weak non-compactness in spaces of nuclear operators. https://doi.org/10.1007/s00209-019-02264-2

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