Spectra of elements in operator space tensor products of \(\mathrm{C}^{\ast}\)-algebras

DOI10.1007/S11117-021-00856-ZzbMath1491.46053OpenAlexW3196007034MaRDI QIDQ2056246

Ajay Kumar, Janson Antony

Publication date: 2 December 2021

Published in: Positivity (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11117-021-00856-z

zbMATH Keywords

spectrumoperator space\(\mathrm{C}^{\ast}\)-algebraoperator space tensor product

Mathematics Subject Classification ID

Spectrum, resolvent (47A10) Operator spaces and completely bounded maps (46L07) Operator spaces (= matricially normed spaces) (47L25) Tensor products of (C^*)-algebras (46L06) Tensor products in functional analysis (46M05)

Cites Work

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• Determining elements in Banach algebras through spectral properties
• Operator space tensor products of \(C^*\)-algebras
• The Grothendieck inequality for bilinear forms on \(C^*\)-algebras
• Grothendieck's theorem for operator spaces
• Polynomials in operator space theory: matrix ordering and algebraic aspects
• Polynomials in operator space theory
• On the spectra of operators on tensor products
• A Course in Commutative Banach Algebras
• Geometry of the tensor product of C*-algebras
• Equivalence of norms on operator space tensor products of $C^\ast $-algebras
• Uniform algebra isomorphisms and peripheral multiplicativity
• Spectra of Tensor Products of Operators

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