What does Birkhoff-James orthogonality know about the norm?

2021/09/20 by Ljiljana Arambašić, Alexander Guterman, Arambašić, Ljiljana +7 · 2 citations
Computer Science · Mathematics · #05C20(Secondary) #46B20 (Primary) #Advanced Banach Space Theory #Constraint Satisfaction and Optimization #FOS: Mathematics #Functional Analysis (math.FA) #G.0 #G.2.2 #Optimization and Variational Analysis

paper · pdf · doi:10.48550/arxiv.2109.09414

openalex publication_date 2021/09/20 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

It is shown that Birkhoff-James orthogonality knows everything about the smooth norms in reflexive Banach spaces and can also compute the dimensions of the underlying normed spaces.

Cited by

• On relationship among three types of Birkhoff-James orthogonality
• On preservers of strong Birkhoff-James orthogonality between C^*-algebras

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