B'~(C) is compsct i n E w convex topological space and that E is a separate G-module. denote a fixed left invariant (normalized continuous (K) if If ~:G--,E function with compact support, ~(g) element of the algebraic Let dg Haar measure on G if G is compact). define the integral vecto~ is a then we dg to be the unique dual of the topological dual of E (denoted E'*) satisfying G -G If E satisfies condition member of E (identified (K), then with its canonical in E'*).
Compact Semitopological Semigroups and Weakly Almost by J. F. Berglund, K. H. Hofmann
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