A characterization of the minimal strongly character invariant Segal algebra
Annales de l'Institut Fourier, Volume 30 (1980) no. 3, p. 129-139

For a locally compact, abelian group G, we study the space S 0 (G) of functions on G belonging locally to the Fourier algebra and with l 1 -behavior at infinity. We give an abstract characterization of the family of spaces {S 0 (G):G abelian} by its hereditary properties.

Pour un groupe abélien, localement compact G, on étudie l’espace S 0 (G), qui est formé de fonctions appartenant localement à l’algèbre de Fourier et se comportant à l’infini comme des éléments de l 1 . On donne une caractérisation abstraite de la famille des espaces {S 0 (G):G abélien} par ses propriétés héréditaires.

@article{AIF_1980__30_3_129_0,
     author = {Losert, Viktor},
     title = {A characterization of the minimal strongly character invariant Segal algebra},
     journal = {Annales de l'Institut Fourier},
     publisher = {Imprimerie Louis-Jean},
     address = {Gap},
     volume = {30},
     number = {3},
     year = {1980},
     pages = {129-139},
     doi = {10.5802/aif.795},
     zbl = {0425.43003},
     mrnumber = {82i:43004},
     language = {en},
     url = {http://www.numdam.org/item/AIF_1980__30_3_129_0}
}
Losert, Viktor. A characterization of the minimal strongly character invariant Segal algebra. Annales de l'Institut Fourier, Volume 30 (1980) no. 3, pp. 129-139. doi : 10.5802/aif.795. http://www.numdam.org/item/AIF_1980__30_3_129_0/

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