Gateaux derivative of 𝐵(𝐻) norm

DOI10.1090/S0002-9939-05-07746-4zbMath1066.46036OpenAlexW1486348940MaRDI QIDQ4663459

Dragoljub J. Kečkić

Publication date: 31 March 2005

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1090/s0002-9939-05-07746-4

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Isometric theory of Banach spaces (46B04) Derivatives of functions in infinite-dimensional spaces (46G05) Linear spaces of operators (47L05)

Related Items (15)

Orthogonality of sesquilinear forms and spaces of operators ⋮ On Birkhoff-James and Roberts orthogonality ⋮ The weak differentiability of norm and a generalized Bhatia-Šemrl theorem ⋮ Approximate orthogonality in complex normed spaces: a directional approach ⋮ From norm derivatives to orthogonalities in Hilbert C*-modules ⋮ Orthogonality of matrices in the Ky Fan k-norms ⋮ A numerical range approach to Birkhoff-James orthogonality with applications ⋮ Orthogonality of bilinear forms and application to matrices ⋮ Gateaux derivative of \(C^\ast\) norm ⋮ Birkhoff-James orthogonality and applications: a survey ⋮ Characterization of Birkhoff-James orthogonality ⋮ Unnamed Item ⋮ Best approximation by diagonal operators in Schatten ideals ⋮ Another method for computing the right norm derivative in Hilbert \(C^*\)-modules ⋮ Birkhoff-James orthogonality in complex Banach spaces and Bhatia-Šemrl theorem revisited

Cites Work

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• Norm derivatives on spaces of operators
• Orthogonality of matrices and some distance problems
• Global minimum and orthogonality in \(C_{1}\)-classes.
• Commutator Approximants
• Orthogonality and Linear Functionals in Normed Linear Spaces

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