English

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

Operator Algebras 2017-03-21 v1

Abstract

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

Keywords

Cite

@article{arxiv.1703.06732,
  title  = {Banach-Alaoglu theorem for Hilbert $H^*$-module},
  author = {Zlatko Lazović},
  journal= {arXiv preprint arXiv:1703.06732},
  year   = {2017}
}
R2 v1 2026-06-22T18:50:51.561Z