February 11, 2024Open Access

Extending inner product for Hilbert C*-modules by ideals

VMVladimir ManuilovLomonosov Moscow State University

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Abstract

We use essential ideals in a C*-algebra A to extend the inner product on a Hilbert C*-module M to a greater C*-submodule of the dual Banach module M'. This extension may go beyond the second dual module M''.

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Vladimir Manuilov (Sun,) studied this question.

synapsesocial.com/papers/68e79abcb6db64358770a794 https://doi.org/https://doi.org/10.48550/arxiv.2402.07288

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