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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
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.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…