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Closed subalgebras of homogeneous Banach algebras
Published online by Cambridge University Press: 09 April 2009
Abstract
Rudin's synthesis method for investigating closed subalgebras of L1(G), where G is an infinite compact abelian group, is extended to the study of closed subalgebras in homogeneous Banach algebras and Segal algebras. Necessary and sufficient conditions are given for the synthesis to hold in certain classes of homogeneous Banach algebras and it is proved that in the Ap(G) algebras the synthesis holds for 1 ≦ p 2 but fails for Ap(T), 2 < p < ∞.
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- Research Article
- Information
- Journal of the Australian Mathematical Society , Volume 20 , Issue 3 , November 1975 , pp. 366 - 376
- Copyright
- Copyright © Australian Mathematical Society 1975
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