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

M. El Azhari
2013 Annals of the West University of Timisoara: Mathematics and Computer Science  
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.
doi:10.2478/awutm-2013-0011 fatcat:hyukivtcondtbgdvzlzsk7cwtm