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arXiv · 2111.14930

Orthogonality Hilbert A-modules and operators preserving multi-A-linearity

Pawel Wojcik·Ali Zamani
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Abstract

In this paper we present results concerning orthogonality in Hilbert $C^*$-modules. Moreover, for a $C^*$-algebra $\mathscr{A}$, we prove theorems concerning the multi-$\mathscr{A}$-linearity and its preservation by $\mathscr{A}$-linear operators. New version of solution of the orthogonality equation on Hilbert $C^*$-modules and mappings preserving orthogonality are also investigated.

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Pawel Wojcik, Ali Zamani. 2021-11-29. Orthogonality Hilbert A-modules and operators preserving multi-A-linearity. https://arxiv.org/abs/2111.14930

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