شماره ركورد كنفرانس :
3502
عنوان مقاله :
Trivolutions on Banach algebras
Author/Authors :
A Alinejad Department of Mathematics - Semnan University , A Ghaffari Department of Mathematics - Semnan University
كليدواژه :
trivolution , bounded approximate identity , positive linear functional , C*-algebras , unitized algebra
عنوان كنفرانس :
چهل و پنجمين كنفرانس رياضي ايران
چكيده لاتين :
Let A be a Banach algebra. The notion of trivolution introduced and studied in [?]. In this talk
we characterize a general study of trivolutions on Banach algebras. Also we study positive linear functionals on a trivolutive Banach algebra and we investigate relationship between the positive linear functionals on A and A♯. We show that, unlike C* -algebras, Gelfand-Naimark-Segal theorem does not hold even the range of trivolution is a C* -algebra.
