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

2021/11/29 by Paweł Wójcik, Ali Zamani, Wojcik, Pawel +2
Computer Science · Mathematics · #15A69 #15A86 #46B20 #46C50 #46L05 #47B49 #Advanced Banach Space Theory #Advanced Operator Algebra Research #FOS: Mathematics #Functional Analysis (math.FA) #Holomorphic and Operator Theory #Matrix Theory and Algorithms #Operator Algebras (math.OA)

paper · pdf · doi:10.48550/arxiv.2111.14930

openalex publication_date 2021/11/29 · openalex created_date 2022/11/08 · openalex updated_date 2026/07/28

Abstract

In this paper we present results concerning orthogonality in Hilbert\nC^*-modules. Moreover, for a C^*-algebra mathscrA, we prove theorems\nconcerning the multi- mathscrA-linearity and its preservation by\n mathscrA-linear operators. New version of solution of the orthogonality\nequation on Hilbert C^*-modules and mappings preserving orthogonality are\nalso investigated.\n

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