Birkhoff-James Orthogonality and Its Local Symmetry in Some Sequence Spaces

2022/05/23 by Babhrubahan Bose, Bose, Babhrubahan, Saikat Roy +3
Computer Science · Decision Sciences · Mathematics · #46B25 #Advanced Algebra and Logic #Advanced Banach Space Theory #FOS: Mathematics #Functional Analysis (math.FA) #Fuzzy and Soft Set Theory #Primary 46B45 #Secondary 46B20

paper · doi:10.48550/arxiv.2205.11586

openalex publication_date 2022/05/23 · openalex created_date 2022/05/27 · openalex updated_date 2026/07/28

Abstract

We study Birkhoff-James orthogonality and its local symmetry in some sequence spaces namely ℓ_p, for 1≤ p≤∞, p≠2, c, c₀ and c₀₀. Using the characterization of the local symmetry of Birkhoff-James orthogonality, we characterize isometries of each of these spaces onto itself and obtain the Banach-Lamperti theorem for onto operators on the sequence spaces.

Related

• Local approximate symmetry of Birkhoff-James orthogonality in normed linear spaces
• Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
• Birkhoff-James Orthogonality and Its Pointwise Symmetry in Some Function Spaces
• Birkhoff-James orthogonality to a subspace of operators defined between Banach spaces
• Birkhoff-James orthogonality in certain tensor products of Banach spaces II