A Hilbert C*-module with extremal properties
Operator Algebras
2022-08-02 v1 Functional Analysis
Abstract
We construct an example of a Hilbert C*-module which shows that Troitsky's theorem on the geometrical essence of A-compact operators between Hilbert C*-modules is not extendable to a not countably generated module case (even in the case of a stronger uniform structure, which is also introduced). In addition, the constructed module admits no frames.
Keywords
Cite
@article{arxiv.2107.03782,
title = {A Hilbert C*-module with extremal properties},
author = {Denis Fufaev},
journal= {arXiv preprint arXiv:2107.03782},
year = {2022}
}
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In Russian