Some existence and non-existence theorems for k-regular maps
David Handel (1980)
Fundamenta Mathematicae
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Displaying similar documents to “Regular Averaging and Regular Extension Operators in Weakly Compact Subsets of Hilbert Spaces”
Some existence and non-existence theorems for k-regular maps
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A characterization of regular averaging operators and its consequences
Spiros A. Argyros, Alexander D. Arvanitakis (2002)
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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,...
Almost regular operators are regular.
Teresa Bermúdez, Manuel González (1999)
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Commentationes Mathematicae Universitatis Carolinae
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A new generalization of realcompactness based on ultrafilters of regular -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.