A generalized notion of orthogonality preserving mappings on inner product modules

‎‎‎‎‎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...

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Veröffentlicht in:Journal of Mahani Mathematical Research Center 2024-08, Vol.13 (2), p.191-197
1. Verfasser: Ali Reza Khoddami
Format: Artikel
Sprache:eng
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Zusammenfassung:‎‎‎‎‎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.
ISSN:2251-7952
2645-4505
DOI:10.22103/jmmr.2023.22038.1495