On extreme contractions and the norm attainment set of a bounded linear operator

DOI10.1215/20088752-2018-0014zbMath1447.46013arXiv1708.07333OpenAlexW2964209564WikidataQ128862145 ScholiaQ128862145MaRDI QIDQ1738220

Debmalya Sain

Publication date: 29 March 2019

Published in: Annals of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1708.07333

zbMATH Keywords

isometrycharacterization of Hilbert spacesextreme contractionsoperator-norm attainment

Mathematics Subject Classification ID

Characterizations of Hilbert spaces (46C15) Isometric theory of Banach spaces (46B04)

Related Items (7)

Extreme contractions on finite-dimensional polygonal Banach spaces ⋮ On symmetric points with respect to the numerical radius norm ⋮ Geodesic neighborhoods in unitary orbits of self-adjoint operators of \(\mathcal{K}+\mathbb{C}\) ⋮ Unnamed Item ⋮ A study of orthogonality of bounded linear operators ⋮ On two extremum problems related to the norm of a bounded linear operator ⋮ Characterization of extreme contractions through k-smoothness of operators

Cites Work

• On certain basis connected with operator and its applications
• Extreme contractions on real Hilbert spaces
• A simple proof of the polar decomposition theorem
• On the norm attainment set of a bounded linear operator
• Operator norm attainment and inner product spaces
• Orthogonality in linear metric spaces
• Isometries of operator algebras
• On maps that preserve orthogonality in normed spaces
• Operators preserving orthogonality are isometries
• On symmetry of Birkhoff-James orthogonality of linear operators on finite-dimensional real Banach spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Orthogonality in normed linear spaces

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