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

Pawel Wojcik; Ali Zamani

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

Operator Algebras 2021-12-01 v1 Functional Analysis

Authors: Pawel Wojcik , Ali Zamani

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.

Keywords

hilbert modules c*-algebras operator theory on hilbert spaces

Cite

@article{arxiv.2111.14930,
  title  = {Orthogonality Hilbert A-modules and operators preserving multi-A-linearity},
  author = {Pawel Wojcik and Ali Zamani},
  journal= {arXiv preprint arXiv:2111.14930},
  year   = {2021}
}

Comments

13 pages

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