A Grothendieck factorization theorem on 2-convex Schatten spaces

DOI10.1007/BF02808225zbMath0789.47019MaRDI QIDQ1802771

Françoise Lust-Piquard

Publication date: 29 June 1993

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

bounded linear operator2-convexification of the symmetric sequence spacenon-commutative analogue of Grothendieck's theoremSchatten space

Mathematics Subject Classification ID

Free probability and free operator algebras (46L54) Linear operators belonging to operator ideals (nuclear, (p)-summing, in the Schatten-von Neumann classes, etc.) (47B10) Noncommutative probability and statistics (46L53) Noncommutative measure and integration (46L51) Linear operators on function spaces (general) (47B38) Linear operators on Banach algebras (47B48) Linear operators in (C^*)- or von Neumann algebras (47C15)

Related Items

Summing norms of identities between unitary ideals, The little Grothendieck theorem and Khintchine inequalities for symmetric spaces of measurable operators, SOME ASPECTS OF THE THEORY OF SYMMETRIC OPERATOR SPACES, THE NON-COMMUTATIVE KHINTCHINE INEQUALITIES FOR, Grothendieck’s Theorem, past and present, Interpolation and \(\Phi \)-moment inequalities of noncommutative martingales, Khinchin's inequality for operators, Rosenthal's theorem for subspaces of noncommutative \(L_p\), Non commutative Khintchine and Paley inequalities, \(\Phi\)-inequalities of noncommutative martingales, Riesz transforms associated with the number operator on the Walsh system and the fermions, Remarks on the non-commutative Khintchine inequalities for \(0<p<2\), Contractibility of the linear group in Banach spaces of measurable operators, Operator-space Grothendieck inequalities for noncommutative \(L_p\)-spaces

Cites Work

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