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most citedBanach embedding properties of non-commutative L^p-spaces

35 citations · 102 across the 15 of their papers we have counts for

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15 papers

math.FA2007★ 9 cited

Some new characterizations of Banach spaces containing

Haskell P. Rosenthal

Several new characterizations of Banach spaces containing a subspace isomorphic to , are obtained. These are applied to the question of when embeds in the injectiv…

math.FA2003★ 16 cited

Strictly semi-transitive operator algebras

H. P. Rosenthal, V. G. Troitsky

An algebra A of operators on a Banach space X is called strictly semi-transitive if for all non-zero x,y in X there exists an operator S in A such that Sx=y or Sy=x. We show that i…

math.FA2000★ 35 cited

Banach embedding properties of non-commutative L^p-spaces

U. Haagerup, H. P. Rosenthal, F. A. Sukochev

Let N and M be von Neumann algebras. It is proved that L^p(N) does not Banach embed in L^p(M) for N infinite, M finite, 1 < or = p < 2. The following considerably stronger result i…

math.OA1999

M-Complete approximate identities in operator spaces

A. Arias, Haskell P. Rosenthal

This work introduces the concept of an M-complete approximate identity (M-cai) for a given operator subspace X of an operator space Y. M-cai's generalize central approximate identi…

math.OA1999★ 10 cited

On certain extension properties for the space of compact operators

Timur Oikhberg, Haskell P. Rosenthal

Let be a fixed separable operator space, general separable operator spaces, and a completely bounded map. is said to have the Complete Separable Ext…

math.FA1999

On Differences of Semi-Continuous Functions

Fouad Chaatit, Haskell P. Rosenthal

Extrinsic and intrinsic characterizations are given for the class DSC(K) of differences of semi-continuous functions on a Polish space K, and also decomposition characterizations o…