Representation theorems for Banach algebras

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• 作者：M.R. Koushesh
• 关键词：primary ; 54D35 ; 54D65 ; 46J10 ; 46J25 ; 46E25 ; 46E15 ; secondary ; 54C35 ; 46H05 ; 16S60
• 刊名：Topology and its Applications
• 出版年：2013
• 出版时间：15 August, 2013
• 年：2013
• 卷：160
• 期：13
• 页码：1781-1793
• 全文大小：296 K

文摘

For a space X denote by the Banach algebra of all continuous bounded scalar-valued functions on X and denote by the set of all elements in which vanish at infinity.

We prove that certain Banach subalgebras H of are isometrically isomorphic to , for some unique (up to homeomorphism) locally compact Hausdorff space Y. The space Y is explicitly constructed as a subspace of the Stone-?ech compactification of X. The known construction of Y enables us to examine certain properties of either H or Y and derive results not expected to be deducible from the standard Gelfand Theory.