A Hilbert $$C^*$$-Module with Extremal Properties

نویسندگان

چکیده

We construct an example of a Hilbert $$C^*$$ -module which shows that Troitsky’s theorem on the geometric essence $$ {\mathcal A} -compact operators between -modules cannot be extended to modules are not countably generated case (even in stronger uniform structure, is also introduced). In addition, constructed module admits no frames.

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ژورنال

عنوان ژورنال: Functional Analysis and Its Applications

سال: 2022

ISSN: ['0016-2663', '1573-8485']

DOI: https://doi.org/10.1134/s0016266322010075