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arXiv · 2507.23089

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

Hooriye Sadat Jalali Ghamsari·Mahdi Dehghani
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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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Hooriye Sadat Jalali Ghamsari, Mahdi Dehghani. 2025-07-30. A generalized Birkhoff-James orthogonality and norm parallelism in unital $C^*$-algebras and their characterizations. https://arxiv.org/abs/2507.23089

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