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arXiv · 2107.03782

A Hilbert C*-module with extremal properties

Denis Fufaev
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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.

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Denis Fufaev. 2021-07-08. A Hilbert C*-module with extremal properties. https://doi.org/10.1134/s0016266322010075

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