On $T$-orthogonality in Banach spaces

DOI10.4064/CM8962-11-2022zbMath1525.46008MaRDI QIDQ6107843

Kallol Paul, Souvik Ghosh, Debmalya Sain

Publication date: 28 June 2023

Published in: Colloquium Mathematicum (Search for Journal in Brave)

zbMATH Keywords

Hilbert spaceBanach spaceBirkhoff-James orthogonality\(T\)-orthogonalityleft (right) symmetric operator

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Characterizations of Hilbert spaces (46C15) Convexity and finite-dimensional Banach spaces (including special norms, zonoids, etc.) (aspects of convex geometry) (52A21)

Cites Work

• Characterizations of inner product spaces
• Orthogonality in linear metric spaces
• T-Orthogonality and Nonlinear Functionals on Topological Vector Spaces
• Operators preserving orthogonality are isometries
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Inner products in normed linear spaces
• Orthogonality in normed linear spaces

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