A generalized notion of orthogonality preserving mappings on inner product modules

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Khoddami Ali Reza

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Journal Paper

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Journal: Journal of Mahani Mathematical Research Year:2024 | Volume:13 | Issue:2 Page(s): 191-197

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Title

A generalized notion of orthogonality preserving mappings on inner product modules

Author(s)

Khoddami Ali Reza | Issue Writer Certificate

Keywords

Strongly orthogonality preserving map‎

‎Inner product module‎

‎$C^*-$algebra‎

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.

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