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A note on Banach algebras that are not isomorphic to a group algebra
Una nota sobre álgebras de Banach no isomorfas a una álgebra de grupos
Mots-clés :
Amalgams, Dunford-Pettis property, Radon-Nikodym property, 2000 Mathematics Subject Classification. 46B03, 32A65, 46B22, 46jl0, 46E30, 47D20 (en)Amalgamas, propiedad de Dunford-Pettis, propiedad de Radon-Nikodym (es)
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Abstract. It is proved in this paper that several classical Banach algebras are not isomorphic to a group algebra. These algebras includes C(K) algebras where K is a compact Hausdorff space. In the case of amalgams, we give conditions for an amalgam to be a group algebra.
En este artículo se prueba que algunas álgebras de Banach clásicas no son isomorfas a un álgebra de grupo. Estas álgebras incluyen a las álgebras C(K) donde K es un espacio de Hausdorff Compacto. En el caso de las amalgamas, damos condiciones para que una amalgama sea un álgebra de grupo.
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