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arXiv · 1301.1186

A remark on continuity of positive linear functionals on separable Banach *-algebras

M. El Azhari
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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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M. El Azhari. 2013-01-07. A remark on continuity of positive linear functionals on separable Banach *-algebras. https://doi.org/10.2478/awutm-2013-0011

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