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arXiv · 1703.06732

Banach-Alaoglu theorem for Hilbert $H^*$-module

Zlatko Lazović
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Abstract

We provided an analogue Banach-Alaoglu theorem for Hilbert $H^*$-module. We construct a $\Lambda$-weak$^*$ topology on a Hilbert $H^*$-module over a proper $H^*$-algebra $\Lambda$, such that the unit ball is compact with respect to $\Lambda$-weak$^*$ topology.

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Zlatko Lazović. 2017-03-20. Banach-Alaoglu theorem for Hilbert $H^*$-module. https://arxiv.org/abs/1703.06732

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