5 citations · 14 across the 6 of their papers we have counts for
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Unitary orbits of normal operators in von Neumann algebras
David Sherman
The starting points for this paper are simple descriptions of the norm and strong* closures of the unitary orbit of a normal operator in a von Neumann algebra. The statements are i…
On the dimension theory of von Neumann algebras
David Sherman
In this paper we study three aspects of (P(M)/~), the set of Murray-von Neumann equivalence classes of projections in a von Neumann algebra M. First we determine the topological st…
A new proof of the noncommutative Banach-Stone theorem
David Sherman
Surjective isometries between unital C*-algebras were classified in 1951 by Kadison. In 1972 Paterson and Sinclair handled the nonunital case by assuming Kadison's theorem and supp…
A classification for 2-isometries of noncommutative Lp-spaces
Marius Junge, Zhong-Jin Ruan, David Sherman
In this paper we extend previous results of Banach, Lamperti and Yeadon on isometries of Lp-spaces to the non-tracial case first introduced by Haagerup. Specifically, we use operat…
On the structure of isometries between noncommutative Lp spaces
David Sherman
We prove some structure results for isometries between noncommutative Lp spaces associated to von Neumann algebras. We find that an isometry T: Lp(M_1) to Lp(M_2) (1 le p < infty,…
Noncommutative Lp structure encodes exactly Jordan structure
David Sherman
We prove that for all 1 \le p \le \infty, p not 2, the Lp spaces associated to two von Neumann algebras M,N are isometrically isomorphic if and only if M and N are Jordan *-isomorp…