On the \((m, n)\)-clock problem and the \(\ell_{\infty}-\ell_1\) norm of a matrix

DOI10.1007/S43036-024-00401-1MaRDI QIDQ6662082

Kalidas Mandal, Chandrodoy Chattopadhyay, Debmalya Sain

Publication date: 13 January 2025

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

zbMATH Keywords

smoothnesslinear operatorsnorm attainment\(\ell_{\infty} - \ell_1\) norm of a matrix

Mathematics Subject Classification ID

Geometry and structure of normed linear spaces (46B20) Linear spaces of operators (47L05)

Cites Work

• Exposed and smooth points of some classes of operation in \(L(\ell^ p)\)
• The differentiability of the norm in spaces of operators
• Norm attainment set and symmetricity of operators on \(\ell_p^2\)
• On the norm attainment set of a bounded linear operator
• On the metric geometry of ideals of operators on Hilbert space
• A complete characterization of smoothness in the space of bounded linear operators
• Grothendieck’s Theorem, past and present
• The weak differentiability of norm and a generalized Bhatia-Šemrl theorem

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