Some results about the spectrum of commutative Banach algebras under the weak topology and applications |
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Authors: | A Ülger |
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Institution: | (1) Department of Mathematics, Bo|>gazici University, 80815 Bebek-Istanbul, Turkey |
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Abstract: | LetA be a commutative Banach algebra with a nonempty spectrum A. By weak we denote the relative weak topology induced on A by (A
*,A
**). In this note we study some properties of the topological space (A, weak) and present some applications of the results obtained and tools used to amenability, weakly compact homomorphisms, weakly compact subsets of the spectrum of the uniform algebras and to a characterization of the synthesizable ideals of the algebraA. |
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Keywords: | 46J05 46J15 46J99 46J20 43A15 |
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