Document Zbl 0495.43003

Order isomorphisms of Fourier-Stieltjes algebras. (English) Zbl 0495.43003

Math. Ann. 263, 145-156 (1983).

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MSC:

43A22	Homomorphisms and multipliers of function spaces on groups, semigroups, etc.
47B60	Linear operators on ordered spaces

Keywords:

Fourier-Stieltjes algebra; biordered space

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Full Text: DOI EuDML

References:

[1]	Arendt, W., De Cannière, J.: Order isomorphisms of Fourier algebras. J. Funct. Anal.50, 1-7 (1983) · Zbl 0506.43001 · doi:10.1016/0022-1236(83)90057-5
[2]	Dixmier, J.: LesC *-algèbres et leurs représentations. Paris: Gauthier-Villars 1969
[3]	Eymard, P.: L’algèbre de Fourier d’un groupe localement compact. Bull. Soc. Math. France92, 181-236 (1964) · Zbl 0169.46403
[4]	Johnson, B.E.: Isometric isomorphisms of measure algebras. Proc. Am. Math. Soc.15, 186-188 (1964) · Zbl 0143.36101 · doi:10.1090/S0002-9939-1964-0160846-2
[5]	Katznelson, Y.: An introduction to harmonic analysis. New York: John Wiley & Sons 1968 · Zbl 0169.17902
[6]	Kawada, Y.: On the group ring of a topological group. Math. Japon1, 1-5 (1948) · Zbl 0041.36303
[7]	Russo, B., Dye, H.A.: A note on unitary operators inC *-algebras. Duke Math. J.33, 413-416 (1966) · Zbl 0171.11503 · doi:10.1215/S0012-7094-66-03346-1
[8]	Schaefer, H.H.: Banach lattices and positive operators. Berlin, Heidelberg, New York: Springer 1974 · Zbl 0296.47023
[9]	Walter, M.E.:W *-algebras and nonabelian harmonic analysis. J. Funct. Anal.11, 17-38 (1972) · Zbl 0242.22010 · doi:10.1016/0022-1236(72)90077-8
[10]	Wendel, J.G.: On isometric isomorphisms of group algebras. Pac. J. Math.1, 305-311 (1951) · Zbl 0043.03102

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