Completely \(p\)-summing maps on the operator Hilbert space \(OH\)

DOI10.1016/j.jfa.2008.06.019zbMath1153.47015OpenAlexW1992785976MaRDI QIDQ952476

Khye Loong Yew

Publication date: 12 November 2008

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2008.06.019

zbMATH Keywords

operator idealsoperator spacescompletely bounded mapscompletely \(p\)-summing mapsoperator Hilbert space

Mathematics Subject Classification ID

Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Operator spaces and completely bounded maps (46L07) Operator ideals (47L20)

Related Items

Representation of certain homogeneous Hilbertian operator spaces and applications, Completely \((q,p)\)-mixing maps, Completely bounded and ideal norms of multiplication operators and Schur multipliers, Completability and optimal factorization norms in tensor products of Banach function spaces

Cites Work

• On non-semisplit extensions, tensor products and exactness of group \(C^*\)-algebras
• Embedding of the operator space OH and the logarithmic `little Grothendieck inequality'
• Embedding of \(C_q\) and \(R_q\) into noncommutative \(L_p\)-spaces, \(1 \leq p < q \leq 2\)
• Fubini's Theorem for Ultraproducts of Noncommutative L_p-Spaces
• The operator Hilbert space 𝑂𝐻, complex interpolation and tensor norms
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