Artigo
INTEGRAL FUNCTIONALS ON C*-ALGEBRA OF VECTOR-VALUED REGULATED FUNCTIONS
Registro en:
Annals Of Functional Analysis. Mashhad: Tusi Mathematical Research Group, v. 3, n. 2, p. 21-31, 2012.
2008-8752
WOS:000208880400002
Autor
Fernandes, L. A. O. [UNESP]
Arbach, R. [UNESP]
Resumen
In 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. State Univ Sao Paulo, UNESP, Dept Math, Fac Engn Ilha Solteira, Ilha Solteira, SP, Brazil State Univ Sao Paulo, UNESP, Dept Math, Fac Engn Ilha Solteira, Ilha Solteira, SP, Brazil