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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.OA2000
Invariant subspaces of Voiculescu's circular operator
Ken Dykema, Uffe Haagerup
We show that Voiculescu's circular operator and, more generally, each circular free Poisson operator has a continuous family of invariant subspaces relative to the von Neumann alge…