A study of symmetric points in Banach spaces

DOI10.1080/03081087.2020.1749541zbMath1500.46014arXiv1909.12683OpenAlexW3015997517MaRDI QIDQ5065540

Vitor Balestro, Satya Bagchi, Saikat Roy, Debmalya Sain

Publication date: 22 March 2022

Published in: Linear and Multilinear Algebra (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1909.12683

zbMATH Keywords

Birkhoff-James orthogonalitypolyhedral Banach spacesleft-symmetric pointright-symmetric point

Mathematics Subject Classification ID

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

Related Items (5)

Orthogonality of sesquilinear forms and spaces of operators ⋮ Birkhoff-James orthogonality and its local symmetry in some sequence spaces ⋮ On symmetric points with respect to the numerical radius norm ⋮ Approximate smoothness in normed linear spaces ⋮ Norm derivatives and geometry of bilinear operators

Cites Work

• A new construction of Radon curves and related topics
• Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
• On Birkhoff orthogonality and isosceles orthogonality in normed linear spaces
• On the numerical index of polyhedral Banach spaces
• On the norm attainment set of a bounded linear operator
• Antinorms and Radon curves
• Abschätzungen für einige Affininvarianten konvexer Kurven
• Orthogonality in linear metric spaces
• On approximate Birkhoff-James orthogonality and normal cones in a normed space
• Characterization of symmetric points in lpn-spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces

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