Автор |
Baker, J. W. |
Дата выпуска |
1973 |
dc.description |
In (6) Taylor has introduced the notion of a convolution measure algebra. In the same paper he constructed a canonical embedding of an arbitrary, semisimple commutative convolution measure algebra A into the algebra M(S) of all bounded, regular Borel measures on a compact semigroup S. This embedding has the properties that A is σ(M(S), C(S)-dense in M(S), that if μ is in A and ν is absolutely continuous with respect to μ, then ν is in A and that the set A^ of non-zero complex homomorphisms of A can be identified with the set S^ of continuous semicharacters of S where h ∈ A^ is identified with χ ∈ S^ by the equation |
Формат |
application.pdf |
Издатель |
Cambridge University Press |
Копирайт |
Copyright © Edinburgh Mathematical Society 1973 |
Название |
A characterisation of a certain class of convolution algebras |
Тип |
research-article |
DOI |
10.1017/S0013091500009925 |
Electronic ISSN |
1464-3839 |
Print ISSN |
0013-0915 |
Журнал |
Proceedings of the Edinburgh Mathematical Society |
Том |
18 |
Первая страница |
198 |
Последняя страница |
198 |
Выпуск |
3 |