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Completely continuous elements of Banach algebras related to locally compact groups
Published online by Cambridge University Press: 17 April 2009
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Let G be a locally compact group and be the Banach space of all essentially bounded measurable functions on G vansihing an infinity. Here, we study some families of right completely continuous elements in the Banach algebra equipped with an Arens type product. As the main result, we show that has a certain right completely continuous element if and only if G is compact.
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- Copyright © Australian Mathematical Society 2007
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