INTEGRAL FUNCTIONALS ON C*-ALGEBRA OF VECTOR-VALUED REGULATED FUNCTIONS

Fernandes, L. A. O. [UNESP]Arbach, R. [UNESP]2015-03-182015-03-182012-01-01Annals Of Functional Analysis. Mashhad: Tusi Mathematical Research Group, v. 3, n. 2, p. 21-31, 2012.2008-8752http://hdl.handle.net/11449/117808In this paper we deal with the notion of regulated functions with values in a C*-algebra A and present examples using a special bi-dimensional C*-algebra of triangular matrices. We consider the Dushnik integral for these functions and shows that a convenient choice of the integrator function produces an integral homomorphism on the C*-algebra of all regulated functions ([a, b], A). Finally we construct a family of linear integral functionals on this C*-algebra.21-31engC*-Algebrasregulated FunctionDushnik IntegralINTEGRAL FUNCTIONALS ON C*-ALGEBRA OF VECTOR-VALUED REGULATED FUNCTIONSArtigoWOS:000208880400002Acesso restrito