On a generalization of W*-modules
Operator Algebras
2009-10-29 v1 Functional Analysis
Abstract
In a recent paper of the first author and Kashyap, a new class of modules over dual operator algebras is introduced. These generalize the W*-modules (that is, Hilbert C*-modules over a von Neumann algebra which satisfy an analogue of the Riesz representation theorem for Hilbert spaces), which in turn generalize the theory of Hilbert spaces. In the present paper we give several new results about these modules.
Cite
@article{arxiv.0910.5404,
title = {On a generalization of W*-modules},
author = {David P Blecher and Jon E Kraus},
journal= {arXiv preprint arXiv:0910.5404},
year = {2009}
}
Comments
8 pages, intended for conference proceedings