Generic properties and a criterion of an operator norm

DOI10.1016/j.laa.2015.07.020zbMath1325.15020OpenAlexW967421277MaRDI QIDQ745174

Tigran Saluev, Iskander Sitdikov

Publication date: 13 October 2015

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

Full work available at URL: https://doi.org/10.1016/j.laa.2015.07.020

zbMATH Keywords

subdifferentialgradientmatrix normoperator normtensor spacefinite-dimensional matrix spaceinjective norm

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Multilinear algebra, tensor calculus (15A69)

Related Items (2)

Supporting vectors for the \(\ell_1\)-norm and the \(\ell_{\infty }\)-norm and an application ⋮ Supporting vectors for the ℓ_p-norm

Cites Work

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• Characterization of the subdifferential of some matrix norms
• Induced convolution operator norms of linear dynamical systems
• On the characterization of least upper bound norms in matrix space
• Tensor Spaces and Numerical Tensor Calculus
• Is the Frobenius matrix norm induced?
• Hypercontractivity, sum-of-squares proofs, and their applications
• A Counterexample on Vector Norms and the Subordinate Matrix Norms

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