The Schatten space 𝑆₄ is a 𝑄-algebra

DOI10.1090/S0002-9939-98-04545-6zbMath0890.47029OpenAlexW1507693783MaRDI QIDQ4383051

Christian Le Merdy

Publication date: 24 March 1998

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

Full work available at URL: https://doi.org/10.1090/s0002-9939-98-04545-6

zbMATH Keywords

operator algebraSchur product\(Q\)-algebraquotient of a uniform algebra\(p\)-Schatten space of operators

Mathematics Subject Classification ID

Abstract operator algebras on Hilbert spaces (47L30) Interpolation between normed linear spaces (46B70) Tensor products of linear operators (47A80)

Related Items (4)

Geometry of Banach spaces: a new route towards position based cryptography ⋮ All Schatten spaces endowed with the Schur product are \(Q\)-algebras ⋮ Unbounded violation of tripartite Bell inequalities ⋮ Some Weighted Group Algebras are Operator Algebras

Cites Work

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• The standard dual of an operator space
• Tensor products of operator spaces
• Some remarks on Q-algebras
• A New Approach to Operator Spaces
• Tensor Products of Operator Spaces II
• A theorem on operator algebras.
• The operator Hilbert space 𝑂𝐻, complex interpolation and tensor norms
• Quotient Algebras of Uniform Algebras

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