A generalized Birkhoff-James orthogonality and norm parallelism in unital $C^*$-algebras and their characterizations

Hooriye Sadat Jalali Ghamsari; Mahdi Dehghani

A generalized Birkhoff-James orthogonality and norm parallelism in unital $C^*$-algebras and their characterizations

Operator Algebras 2025-08-01 v1 Functional Analysis

Authors: Hooriye Sadat Jalali Ghamsari , Mahdi Dehghani

Abstract

We introduced and study a family of generalized norm on $C^*$ -algebras and the notion of Birkhoff-James orthogonality and norm-parallelism with respect to these family of generalized norms are investigated.

Keywords

Birkhoff-James orthogonality norm parallelism $C^*$-algebras generalized norms

Cite

@article{arxiv.2507.23089,
  title  = {A generalized Birkhoff-James orthogonality and norm parallelism in unital $C^*$-algebras and their characterizations},
  author = {Hooriye Sadat Jalali Ghamsari and Mahdi Dehghani},
  journal= {arXiv preprint arXiv:2507.23089},
  year   = {2025}
}

Comments

18 pages, It is final version of the paper accepted for publication in commentationes mathematicae universitatis carolinae

A generalized Birkhoff-James orthogonality and norm parallelism in unital $C^*$-algebras and their characterizations

Abstract

Keywords

Cite

Comments

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