A generalized notion of orthogonality preserving mappings on inner product modules

Khoddami, Ali Reza

doi:10.22103/jmmr.2023.22038.1495

A generalized notion of orthogonality preserving mappings on inner product modules

Document Type : Research Paper

Author

Ali Reza Khoddami

Faculty of Mathematical Sciences, Shahrood University of Technology, P. O. Box 3619995161-316, Shahrood, Iran

10.22103/jmmr.2023.22038.1495

Abstract

‎‎‎‎‎In this paper, we define a new concept called ``strongly orthogonality preserving mappings '' for inner product modules, which extends the existing notion of ``orthogonality preserving mappings". Also, we provide a condition that is both necessary and sufficient for a linear map between inner product modules to be strongly orthogonality preserving. Some examples on the definition are given.

Keywords

Strongly orthogonality preserving map‎

‎Inner product module‎

‎$C^*-$algebra‎

Subjects

Analysis

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