Smoothness and norm attainment of bounded bilinear operators between Banach spaces

DOI10.1080/03081087.2019.1702917zbMath1483.46046arXiv1907.01955OpenAlexW3029063558WikidataQ126543759 ScholiaQ126543759MaRDI QIDQ5012477

Debmalya Sain

Publication date: 24 November 2021

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

Full work available at URL: https://arxiv.org/abs/1907.01955

zbMATH Keywords

bilinear operatorssmoothnessnorm attainment

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) (Spaces of) multilinear mappings, polynomials (46G25)

Related Items (2)

The weak differentiability of norm and a generalized Bhatia-Šemrl theorem ⋮ Norm derivatives and geometry of bilinear operators

Cites Work

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• Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
• Orthogonality of matrices and some distance problems
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• On the norm attainment set of a bounded linear operator
• Operator norm attainment and inner product spaces
• On operators preserving James' orthogonality
• Orthogonality in linear metric spaces
• Semi-Inner-Product Spaces
• Operators preserving orthogonality are isometries
• Classes of Semi-Inner-Product Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces

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