Order isomorphisms of Fourier algebras

DOI10.1016/0022-1236(83)90057-5zbMath0506.43001OpenAlexW2072875540MaRDI QIDQ1836830

Wolfgang Arendt, Jean De Cannière

Publication date: 1983

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0022-1236(83)90057-5

zbMATH Keywords

order isomorphismcomplete isomorphism invariantcone of pointwise positive functionscone of positive definite functions

Mathematics Subject Classification ID

Homomorphisms and multipliers of function spaces on groups, semigroups, etc. (43A22)

Related Items

How the norm one positive definite functions determine a finite group, Orthogonally additive and multiplicative maps between Figá-Talamanca-Herz algebras, Orthogonality and disjointness preserving linear maps between Fourier and Fourier-Stieltjes algebras of locally compact groups, Complete order amenability of the Fourier algebra, Order isomorphisms of Fourier-Stieltjes algebras, Approximation of \(p\)-multiplier operators via their spectral projections, On the density of the Fourier-Stieltjes algebra, Order structure of the Figà-Talamanca-Herz algebra, The Fourier algebra as an order ideal of the Fourier-Stieltjes algebra, An order theoretical characterization of the Fourier transform, Extensions and isomorphisms for the generalized Fourier algebras of a locally compact group

Cites Work

• Unnamed Item
• A note on unitary operators in \(C^ *\)-algebras
• \(W^*\)-algebras and nonabelian harmonic analysis
• L'algèbre de Fourier d'un groupe localement compact