Displaying similar documents to “Regular Averaging and Regular Extension Operators in Weakly Compact Subsets of Hilbert Spaces”

A characterization of regular averaging operators and its consequences

Spiros A. Argyros, Alexander D. Arvanitakis (2002)

Studia Mathematica

Similarity:

We present a characterization of continuous surjections, between compact metric spaces, admitting a regular averaging operator. Among its consequences, concrete continuous surjections from the Cantor set 𝓒 to [0,1] admitting regular averaging operators are exhibited. Moreover we show that the set of this type of continuous surjections from 𝓒 to [0,1] is dense in the supremum norm in the set of all continuous surjections. The non-metrizable case is also investigated. As a consequence,...

r-Realcompact spaces

D. Bhattacharya, Lipika Dey (2012)

Commentationes Mathematicae Universitatis Carolinae

Similarity:

A new generalization of realcompactness based on ultrafilters of regular F σ -subsets is introduced. Its relationship with realcompactness, almost realcompactness, almost* realcompactness, c-realcompactness is examined. Some of the properties of the newly introduced space is studied as well.