16 citations · 16 across the 1 of their papers we have counts for
6 papers
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…
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…
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…
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…
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…
The complete separable extension property
Haskell P. Rosenthal
This work introduces operator space analogues of the Separable Extension Property (SEP) for Banach spaces; the Complete Separable Extension Property (CSEP) and the Complete Separab…