A remark on continuity of positive linear functionals on separable Banach *-algebras
Functional Analysis
2014-04-30 v3
Abstract
Using a variation of the Murphy-Varopoulos Theorem, we give a new proof of the following R.J.Loy Theorem: Let A be a separable Banach*-algebra with center Z such that ZA has at most countable codimension, then every positive linear functional on A is continuous.
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Cite
@article{arxiv.1301.1186,
title = {A remark on continuity of positive linear functionals on separable Banach *-algebras},
author = {M. El Azhari},
journal= {arXiv preprint arXiv:1301.1186},
year = {2014}
}
Comments
3 pages