Compact Operators on Hilbert right modules
Operator Algebras
2014-03-27 v1
Abstract
We generalize some results on compact operators on Hilbert spaces to "compact" operators on some Hilbert right W*-modules. We present in this frame the Schatten decomposition of the compact operators, the trace, the Banach Lp-spaces and their duals, the Hilbert-Schmitt operators, and the integral operators as an example of Hilbert-Schmitt operators.
Cite
@article{arxiv.1403.6724,
title = {Compact Operators on Hilbert right modules},
author = {Corneliu Constantinescu},
journal= {arXiv preprint arXiv:1403.6724},
year = {2014}
}
Comments
39 pages