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arXiv · 1610.06956

Compact and "compact" operators on the standard Hilbert module over a $W^*$ algebra

Dragoljub J Kečkić·Zlatko Lazović
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Abstract

We construct a topology on the standard Hilbert module $l^2(\mathcal A)$ over a unital $W^*$-algebra $\mathcal A$ such that any "compact" operator, (i.e.\ any operator in the norm closure of the linear span of the operators of the form $x\mapsto\left z$) maps bounded sets into totally bounded sets.

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Dragoljub J Kečkić, Zlatko Lazović. 2016-10-21. Compact and "compact" operators on the standard Hilbert module over a $W^*$ algebra. https://doi.org/10.1215/20088752-2017-0053

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