Norm attainment set and symmetricity of operators on \(\ell_p^2\)

DOI10.1007/s43036-021-00167-wzbMath1495.47058OpenAlexW3209335575MaRDI QIDQ2062302

Debmalya Sain, Kallol Paul, Kalidas Mandal, Arpita Mal

Publication date: 27 December 2021

Published in: Advances in Operator Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s43036-021-00167-w

zbMATH Keywords

optimal boundnorm attainmentsymmetric pointleft symmetric operator

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear operators on special spaces (weighted shifts, operators on sequence spaces, etc.) (47B37)

Cites Work

• Orthogonality of bounded linear operators
• Birkhoff-James orthogonality of linear operators on finite dimensional Banach spaces
• On symmetry of strong Birkhoff orthogonality in \(B(\mathcal{H},\mathcal{K})\) and \(K(\mathcal{H},\mathcal{K})\)
• Orthogonality of bounded linear operators on complex Banach spaces
• On symmetry of Birkhoff-James orthogonality of linear operators
• On the norm attainment set of a bounded linear operator and semi-inner-products in normed spaces
• Modular Birkhoff-James orthogonality in \(B(\mathbb{X,Y})\) and \(K(\mathbb{X,Y})\)
• On the norm attainment set of a bounded linear operator
• Operator norm attainment and inner product spaces
• Semi-Inner-Product Spaces
• A note on the numerical index of theL_pspace of dimension two
• On symmetry of Birkhoff-James orthogonality of linear operators on finite-dimensional real Banach spaces
• On two extremum problems related to the norm of a bounded linear operator
• Classes of Semi-Inner-Product Spaces
• Orthogonality and Linear Functionals in Normed Linear Spaces
• Symmetric points in spaces of linear operators between Banach spaces

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