We show that every closed ideal of a Segal algebra on a compact group admits a central approximate identity which has the property, called condition (U), that the induced multiplication operators converge to the identity operator uniformly on compact sets of the ideal. This result extends a known on
Segal Algebras and Left Normed Ideals
โ Scribed by Dunford, D. H.
- Book ID
- 120097880
- Publisher
- Oxford University Press
- Year
- 1974
- Tongue
- English
- Weight
- 73 KB
- Volume
- s2-8
- Category
- Article
- ISSN
- 0024-6107
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๐ SIMILAR VOLUMES
These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considere
These notes give an account of recent work in harmonic analysis dealing with the analytical foundations of A. Weil's theory of metaplectic groups. It is shown that Weil's main theorem holds for a class of functions (a certain Segal algebra) larger than that of the Schwartz-Bruhat functions considere