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...
Gespeichert in:
Veröffentlicht in: | Journal of Mahani Mathematical Research Center 2024-08, Vol.13 (2), p.191-197 |
---|---|
1. Verfasser: | |
Format: | Artikel |
Sprache: | eng |
Schlagworte: | |
Online-Zugang: | Volltext |
Tags: |
Tag hinzufügen
Keine Tags, Fügen Sie den ersten Tag hinzu!
|
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 |