Integral functionals on c*-algebra of vector-valued regulated functions
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Data
2012-01-01
Autores
Fernandes, L. A.O. [UNESP]
Arbach, R. [UNESP]
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Resumo
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 G([a, b], A). Finally we construct a family of linear integral functionals on this C*-algebra. © 2012, Duke University Press. All rights reserved.
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C*-algebras, Dushnik integral, Regulated function
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Annals of Functional Analysis, v. 3, n. 2, p. 21-31, 2012.