Local boundary representations for local operator systems
Operator Algebras
2023-12-25 v1
Abstract
In this paper, we show that the local boundary representations of a local operator system in a Frechet locally C*-algebra on quantized Frechet domains introduced by Arunkumar [Local boundary representations of locally C*-algebras, J. Math. Anal. Appl. 515(2022),2,Paper No. 126416, 14pp.] are in fact local boundary representations on Hilbert spaces. Thus, the study of local boundary representations for local operator systems in Frechet locally C*-algebras on quantized Frechet domains is reduced to the study of boundary representations for operator systems.
Cite
@article{arxiv.2312.14477,
title = {Local boundary representations for local operator systems},
author = {Maria Joiţa},
journal= {arXiv preprint arXiv:2312.14477},
year = {2023}
}
Comments
11 pages