Birkhoff-James Orthogonality and Its Pointwise Symmetry in Some Function Spaces

2022/05/25 by Babhrubahan Bose, Bose, Babhrubahan
Mathematics · #46L05 #Advanced Banach Space Theory #Advanced Operator Algebra Research #Advanced Topology and Set Theory #FOS: Mathematics #Functional Analysis (math.FA) #Primary 46B20 #Secondary 46E30

paper · pdf · doi:10.48550/arxiv.2205.13078

openalex publication_date 2022/05/25 · openalex created_date 2022/06/13 · openalex updated_date 2026/07/28

Abstract

We study Birkhoff-James orthogonality and its pointwise symmetry in commutative C^* algebras, i.e., the space of all continuous functions defined on a locally compact Hausdorff space that vanish at infinity. We use this characterization to obtain the characterization of Birkhoff-James orthogonality on L_∞ space defined on any arbitrary measure space. We also do the same for the L_p spaces for 1≤ p

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