Contractive homomorphisms of measure algebras and Fourier algebras

• Autorzy: Ross Stokke
• Języki publikacji: EN

Abstrakty

EN

We show that the dual version of our factorization [J. Funct. Anal. 261 (2011)] of contractive homomorphisms φ: L¹(F) → M(G) between group/measure algebras fails to hold in the dual, Fourier/Fourier-Stieltjes algebra, setting. We characterize the contractive w*-w* continuous homomorphisms between measure algebras and (reduced) Fourier-Stieltjes algebras. We consider the problem of describing all contractive homomorphisms φ: L¹(F) → L¹(G).

Kategorie tematyczne

• 43A30: Fourier and Fourier-Stieltjes transforms on nonabelian groups and on semigroups, etc.
• 43A25: Fourier and Fourier-Stieltjes transforms on locally compact and other abelian groups
• 43A20: L 1 -algebras on groups, semigroups, etc.
• 43A10: Measure algebras on groups, semigroups, etc.
• 43A22: Homomorphisms and multipliers of function spaces on groups, semigroups, etc.

• Wydawca: Institute of Mathematics Polish Academy of Sciences
• Czasopismo: Studia Mathematica
• Rocznik: 2012
• Tom: 209
• Numer: 2
• Strony: 135-150

Daty

wydano

2012

Twórcy

autor

Ross Stokke

• Department of Mathematics and Statistics, University of Winnipeg, 515 Portage Avenue, Winnipeg, Canada, R3B 2E9

Identyfikatory

DOI

10.4064/sm209-2-3