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| Paper IPM / M / 16036 |
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| Abstract: | |
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In this paper, we introduce the concept of pointwise compactness for
a locally compact group G, and among other results, we show that pointwise compactness of G is a necessary condition for pointwise contractibility of L1(G) in a commutative case. Also, pointwise contractibility of measure algebras in a general case is studied. Finally, applying the results, we study the pointwise contractibility of Fourier and Fourier-Stieltjes algebras in a commutative case.
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