Geodesic
Contractive homomorphisms of measure algebras and Fourier algebras
Ross Stokke1
1 Department of Mathematics and Statistics University of Winnipeg 515 Portage Avenue Winnipeg, Canada, R3B 2E9
Studia Mathematica, Tome 209 (2012) no. 2, pp. 135-150

Voir la notice de l'article provenant de la source Institute of Mathematics Polish Academy of Sciences

We show that the dual version of our factorization [J. Funct. Anal. 261 (2011)] of contractive homomorphisms $\varphi : L^1(F) \rightarrow M(G)$ between group/measure algebras fails to hold in the dual, Fourier/Fourier–Stieltjes algebra, setting. We characterize the contractive $w^*\hbox {-}w^*$ continuous homomorphisms between measure algebras and (reduced) Fourier–Stieltjes algebras. We consider the problem of describing all contractive homomorphisms $\varphi : L^1(F) \rightarrow L^1(G)$.
DOI : 10.4064/sm209-2-3
Keywords: dual version factorization funct anal contractive homomorphisms varphi rightarrow between group measure algebras fails dual fourier fourier stieltjes algebra setting characterize contractive * hbox * continuous homomorphisms between measure algebras reduced fourier stieltjes algebras consider problem describing contractive homomorphisms varphi rightarrow

Ross Stokke 1

1 Department of Mathematics and Statistics University of Winnipeg 515 Portage Avenue Winnipeg, Canada, R3B 2E9 
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Ross Stokke. Contractive homomorphisms of
 measure algebras and Fourier algebras. Studia Mathematica, Tome 209 (2012) no. 2, pp. 135-150. doi: 10.4064/sm209-2-3

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