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

Published 7 Jan 2013 in math.FA | (1301.1186v3)

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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Authors (1)

M. El Azhari

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