Amenability and weak amenability of l¹-algebras of polynomial hypergroups
Rupert Lasser
Studia Mathematica, Tome 178 (2007), p. 183-196 / Harvested from The Polish Digital Mathematics Library
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We investigate amenability and weak amenability of the l¹-algebra of polynomial hypergroups. We derive conditions for (weak) amenability adapted to polynomial hypergroups and show that these conditions are often not satisfied. However, we prove amenability for the hypergroup induced by the Chebyshev polynomials of the first kind.

Publié le : 2007-01-01
EUDML-ID : urn:eudml:doc:284415 
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     author = {Rupert Lasser},
     title = {Amenability and weak amenability of l$^1$-algebras of polynomial hypergroups},
     journal = {Studia Mathematica},
     volume = {178},
     year = {2007},
     pages = {183-196},
     zbl = {1126.43003},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-2-6}
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Rupert Lasser. Amenability and weak amenability of l¹-algebras of polynomial hypergroups. Studia Mathematica, Tome 178 (2007) pp. 183-196. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-doi-10_4064-sm182-2-6/