23 citations · 50 across the 9 of their papers we have counts for
4 papers · 2 filters
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…
Relative tensor products for modules over von Neumann algebras
David Sherman
We give an overview of relative tensor products (RTPs) for von Neumann algebra modules. For background, we start with the categorical definition and go on to examine its algebraic…
Noncommutative Lp modules
Marius Junge, David Sherman
We construct classes of von Neumann algebra modules by considering ``column sums" of noncommutative L^p spaces. Our abstract characterization is based on an L^{p/2}-valued inner pr…