<abstract xmlns="http://www.w3.org/1999/xhtml"> 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. </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.

A Remark on Continuity of Positive Linear Functionals on Separable Banach *-Algebras

Ecole Normale Supérieure, Avenue Oued Akreuch, Takaddoum, BP 5118, Rabat, Morocco.

Annals of West University of Timisoara - Mathematics and Computer Science

A Remark on Continuity of Positive Linear Functionals on Separable Banach -Algebras

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...

A Remark on Continuity of Positive Linear Functionals on Separable Banach _*-Algebras

Published Online: Jan 22, 2014

Page range: 3 - 5

DOI: https://doi.org/10.2478/awutm-2013-0011

Keywords
Banach *-algebra, positive linear functional, continuity

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