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

Q: What type of study is this?

This is a Quantitative Study study.

Hooriye Sadat Jalali Ghamsari; Mahdi Dehghani

doi:10.48550/arxiv.2507.23089

July 30, 2025Open Access

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

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Key Points

This work introduces generalized norms for C-algebras and delves into their properties.
It highlights the relationship between Birkhoff-James orthogonality and norm parallelism, establishing significant conditions.
The analysis provides foundational characterizations that enhance the understanding of these mathematical concepts.
Implications of these findings could influence future developments in functional analysis and operator algebras.

Implication

This study investigates Birkhoff-James orthogonality and norm-parallelism in C-algebras, suggesting new characterizations.

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.

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Cite This Study

Ghamsari et al. (2025) studied this question.

synapsesocial.com/papers/68e7f0af2d7e30942762c980 https://doi.org/10.48550/arxiv.2507.23089

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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

Key Points

Implication

Abstract

Discussion

Cite This Study

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