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Precipitousness of a Sum of Ideals on Complete Boolean Algebras

โœ Scribed by Joji Takahashi; Kazuaki Kajitori

Publisher
John Wiley and Sons
Year
1988
Tongue
English
Weight
473 KB
Volume
34
Category
Article
ISSN
0044-3050

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โœฆ Synopsis

I ) The second author's contribution to the paper comes out of his Ph. D. dissertation written 21' under the supervision of Prof. TAKEUTI to whom the author is grateful. Math. (2) 94 (1971), 201 -245.

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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