A generalized notion of orthogonality preserving mappings on inner product modules

Author(s):

Alireza Khoddami *

Message:
Article Type:
Research/Original Article (دارای رتبه معتبر)
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

Language:
English
Published:
Journal of Mahani Mathematical Research, Volume:13 Issue: 2, Summer and Autumn 2024
Pages:
191 to 197
https://www.magiran.com/p2753606