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- W2092839216 abstract "Let $E$ be a locally convex space and let $T$ be a semigroup of semicharacters on an idempotent semigroup. It is shown that there exists an isomorphism between the space of $E$-valued functions on $T$ and the space of all $E$-valued finitely additive measures on a certain algebra of sets. The space of all $E$-valued functions on $T$ which are absolutely continuous with respect to a positive definite function $F$ is identified with the space of all $E$-valued measures which are absolutely continuous with respect to the measure ${m_F}$ corresponding to $F$. Finally a representation is given for the operators on the set of all $E$-valued finitely additive measures on an algebra of sets which are absolutely continuous with respect to a positive measure." @default.
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- W2092839216 date "1975-01-01" @default.
- W2092839216 modified "2023-10-16" @default.
- W2092839216 title "Absolutely continuous functions on idempotent semigroups in the locally convex setting" @default.
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- W2092839216 doi "https://doi.org/10.1090/s0002-9947-1975-0374904-2" @default.
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