Using the theory of Banach bundles, we present a proof of the well known fact that, when X is a compact Hausdorff space, irreducible C(X)- modules are one-dimensional

Given a separable unital C*-algebra C with norm parallel to center dot parallel to, let E-n denote the Banach-space completion of the C-valued Schwartz space on R-n with norm parallel to f parallel to(2)=parallel to < f, ...

La dualidad de Gelfand establece una equivalencia entre la categoría de espacios compactos de Hausdorff y la categoría de C*-álgebras, que a un espacio compacto de Hausdorff X le asocia la C*-álgebra de Banach c(X,C) de ...

We obtain a generalization of Buzano’s inequality of vectors in Hilbert spaces , using the theory of algebraic probability spaces. In particular, we extend a result of Dragomir given in [7]. Applications for numerical ...

This thesis deals with a range of questions in combinatorial aspects of the representation theory of algebras and its applications. In particular, we provide a solution to the following problems: 1. How is it possible ...

This thesis investigates the properties of weak bialgebras and weak Hopf algebras, their (co)representations, and applications in groupoids, path algebras, and Lie algebroids. The research employs algebraic and categorical ...