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Comparison of non-commutative 2- and \(p\)-summing operators from \(B(l_2)\) into \(OH\)

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Publication:1848666
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DOI10.4171/ZAA/1104zbMath1018.46030MaRDI QIDQ1848666

Lahcène Mezrag

Publication date: 11 September 2003

Published in: Zeitschrift für Analysis und ihre Anwendungen (Search for Journal in Brave)


zbMATH Keywords

operator spacescompletely bounded operators


Mathematics Subject Classification ID

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) Operator spaces and completely bounded maps (46L07)


Related Items

Little Grothendieck's theorem for sublinear operators ⋮ Weak Grothendieck's theorem ⋮ Factoring operators over Hilbert-Schmidt maps and vector measures



Cites Work

  • Unnamed Item
  • The standard dual of an operator space
  • Subspaces of \(C^ *\)-algebras
  • Tensor products of operator spaces
  • On matricially normed spaces
  • On the Abstract Characterization of Operator Spaces
  • A New Approach to Operator Spaces
  • Tensor Products of Operator Spaces II
  • On the Duality of Operator Spaces
  • Comparing gaussian and Rademacher cotype for operators on the space of continuous functions
  • The operator Hilbert space 𝑂𝐻, complex interpolation and tensor norms
  • Absolut p-summierende Abbildungen in normierten Räumen
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