Irreducible - representations on Banach algebras

• Autorzy: Gaur A.
• Języki publikacji: EN

Abstrakty

EN

In this paper, using the notion of g-bounded linear functionals on a Banach * - algebra A, a characterization of representable functionals on A in terms of the pure states of A is given. Further, it is also shown that the extreme points of the set of all g-bounded positive linear functionals on A are simply the pure states of A.

Słowa kluczowe

EN

Banach algebra; cyclic representation; pure states

• Wydawca: De Gruyter
• Czasopismo: Demonstratio Mathematica
• Rocznik: 1999
• Tom: Vol. 32, nr 1
• Strony: 171--176
• Opis fizyczny: Bibliogr. 5 poz.

Twórcy

autor

Gaur A.

• Department of Mathematics and Computer Science Duquesne University Pittsburgh, PA 15282 U.S.A.,