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Measures and Ideals of C* (X)
Author(s) -
CONNOR JEFF,
SWARDSON MARY ANNE
Publication year - 1993
Publication title -
annals of the new york academy of sciences
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 1.712
H-Index - 248
eISSN - 1749-6632
pISSN - 0077-8923
DOI - 10.1111/j.1749-6632.1993.tb52511.x
Subject(s) - tychonoff space , mathematics , set (abstract data type) , space (punctuation) , topological space , pure mathematics , locally compact space , closed set , compact space , discrete mathematics , computer science , programming language , operating system
. The relationships holding between integral summability methods, certain set functions defined on ℘ ([0, ∞)), and certain closed subsets of β[0, ∞) ‐ [0, ∞) have been discussed before. In this paper some of these results are extended to more general topological spaces. For a locally compact Tychonoff space X , relationships between set functions on ℘ ( X ), certain closed subsets of βX ‐ X , and ideals of C *( X ) are given, as are applications to summability theory.