Acta Mathematica Academiae Paedagogicae Nyíregyháziensis, Vol. 31, No. 2, pp. 273-283 (2015)

On character and approximate character amenability of various Segal algebras

O.T. Mewomo, S.M. Maepa and M.O. Uwala

University of Kwazulu-Natal, University of Pretoria and Federal University of Agriculture, Abeokuta

Abstract: We investigate character and approximate character amenability of various Segal algebras in both the group algebra $L^1(G)$, and the Fourier algebra $A(G)$, of a locally compact group $G$.

Keywords: Banach algebra, Segal algebra, approximately left character amenable, approximately right character amenable, approximately character amenable.

Classification (MSC2000): 46H20; 46H10, 46H25

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