Operator Ideals and Operator Spaces

DOI10.2307/2160989zbMath0827.47014OpenAlexW4237624219MaRDI QIDQ4845886

Vern I. Paulsen, D. Benjamin Mathes

Publication date: 27 November 1995

Full work available at URL: https://doi.org/10.2307/2160989

zbMATH Keywords

symmetric normcategory of operator spacesc.b. normcompletely bounded maps between two homogeneous operator Hilbert spacesfull symmetrically normed ideal of operators on a Hilbert space

Mathematics Subject Classification ID

Norms (inequalities, more than one norm, etc.) of linear operators (47A30) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Spaces of operators; tensor products; approximation properties (46B28) Interpolation between normed linear spaces (46B70) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Spaces of linear operators; topological tensor products; approximation properties (46A32) Operator ideals (47L20)

Related Items

Hyperreflexivity and operator ideals ⋮ The maximal operator space of a normed space ⋮ Hilbertian matrix cross normed spaces arising from normed ideals

Cites Work

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• Subspaces of \(C^ *\)-algebras
• Tensor products of operator spaces
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• Characterizations of Row and Column Hilbert Space
• The operator Hilbert space 𝑂𝐻, complex interpolation and tensor norms