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Revista Colombiana de Matemáticas
versão impressa ISSN 0034-7426
Rev.colomb.mat. v.42 n.1 Bogotá jan./jun. 2008
1University of Los Andes, Mérida, Venezuela. Email: barcenas@ula.ve
2University of Los Andes, Mérida, Venezuela. Email: walterespinoza@hotmail.com
3University of Los Andes, Mérida, Venezuela. Email: edixonr@ula.ve
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.
Key words: Amalgams, Dunford-Pettis property, Radon-Nikodym property.
2000 Mathematics Subject Classification: 46B03, 32A65, 46B22, 46j10, 46E30, 47D20.
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.
Palabras clave: Amalgamas, propiedad de Dunford-Pettis, propiedad de Radon-Nikodym.
Texto completo disponible en PDF
References
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Este artículo se puede citar en LaTeX utilizando la siguiente referencia bibliográfica de BibTeX:
@ARTICLE{RCMv42n1a06,
AUTHOR = {Barcenas, Diomedes and Espinoza, Walter and Rojas, Edixon},
TITLE = {{A note on Banach algebras that are not isomorphic to a group algebra}},
JOURNAL = {Revista Colombiana de Matemáticas},
YEAR = {2008},
volume = {42},
number = {1},
pages = {67-72}
}