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Paper   IPM / M / 16036
School of Mathematics
  Title:   Pointwise version of contractibility of Banach algebras of locally compact groups
  Author(s):  Maedeh Soroushmehr
  Status:   Published
  Journal: Bull. Belg. Math. Soc.
  Vol.:  26
  Year:  2019
  Pages:   119-129
  Supported by:  IPM
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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