Displaying similar documents to “Egorov's type convergence in the Dedekind completion of a C*-algebra”

A-realcompact spaces.

Jorge Bustamante, José R. Arrazola, Raúl Escobedo (1998)

Revista Matemática Complutense

Similarity:

Relations between homomorphisms on a real function algebra and different properties (such as being inverse-closed and closed under bounded inversion) are studied.

Polar decomposition in Rickart C*-algebras.

Dmitry Goldstein (1995)

Publicacions Matemàtiques

Similarity:

A new proof is obtained to the following fact: a Rickart C*-algebra satisfies polar decomposition. Equivalently, matrix algebras over a Rickart C*-algebra are also Rickart C*-algebras.

Universal Taylor series

Vassili Nestoridis (1996)

Annales de l'institut Fourier

Similarity:

We strengthen a result of Chui and Parnes and we prove that the set of universal Taylor series is a G δ -dense subset of the space of holomorphic functions defined in the open unit disc. Our result provides the answer to a question stated by S.K. Pichorides concerning the limit set of Taylor series. Moreover, we study some properties of universal Taylor series and show, in particular, that they are trigonometric series in the sense of D. Menchoff.