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

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DOI

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 
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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