Cones and norms in the tensor product of matrix spaces.

DOI10.1016/j.laa.2003.06.005zbMath1041.15021OpenAlexW2094503062MaRDI QIDQ1426290

D. Massart

Publication date: 14 March 2004

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

Full work available at URL: https://doi.org/10.1016/j.laa.2003.06.005

zbMATH Keywords

spectral normcones of matricestrace normmajorantsnorms of matricesestimates of normstensor product of matrix spaces

Mathematics Subject Classification ID

Norms of matrices, numerical range, applications of functional analysis to matrix theory (15A60) Positive matrices and their generalizations; cones of matrices (15B48) Algebraic systems of matrices (15A30) Multilinear algebra, tensor calculus (15A69)

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Cites Work

• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• Completely positive linear maps on complex matrices
• Spectral bounds derived from quadratic forms on decomposable tensors
• Theory of operator algebras I.
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