Veröffentlicht

2008-01-01

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

Schlagworte:

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)

Downloads

Autor/innen

  • University of Los Andes, Mérida, Venezuela
  • University of Los Andes, Mérida, Venezuela
  • University of Los Andes, Mérida, Venezuela

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.

Literaturhinweise

Bachman, G. Elements of Abstract Harmonic Analysis. Academic Press, New York, 1964.

Bertrandias, J. P., Datry, C., and Dupuis , C. Union et intersections d’ espaces lp invariantes par traslation ou convolution. Ann. Inst. Fourier 28, 2 (1978), 53-84.

Bottcher, A ., Karlovich, Y . I., and Spitkovsky, I. Convolution Operator and Factorization of Almost Periodic Matrix Functions. Birkhauser, Basel, 2002.

Carother, N. A short Course on Banach Spaces Theory. Cambridge University Press, Cambridge, 2005.

Conway, J. B. A Course in Functional Analysis. Springer Verlag, New York, 1990.

Conway, J. B. A Course in Operator Theory. No. 21 in GMS. AMS, Providence, 2000.

Diestel, J. A survey of results related the Dunford Pettis property. Contemporary Math. 2 (1980), 15-60.

Diestel, J. Sequences and Series in Banach Spaces. Springer Verlag, Berlin, 1984.

Diestel, J., and Uhl, J. J. Vector Measures. No. 15 in Math. Surveys. Amer. Math. Soc., Providence, 1977.

Dunford, N., and Schwartz, J. T. Linear Operator. Part I: General Theory. Wiley Intercience, New York, 1957.

Goldberg, R. On a space of functions of Wiener. Duke Math. 34, 5 (1967), 683-691.

Holland, F. Harmonic analysis on amalgams of l^p and l^q. J. London Math. Soc. 10, 2 (1975), 195-305.

Stewart, J., and Watson, S. Which amalgams are convolution algebras? Proc. Amer. Math. Soc. 93, 4 (1985), 621-627.

Wojtaszcyk, P. Banach Spaces for Analyst. Cambridge University Press, Cambridge, 1991.

Zelasco, W. On the algebras lp of locally compact groups. Colloq. Math. 8 (1961), 115-120.

Zitationsvorschlag

APA

Diomedes, Walter und Edixon. (2008). A note on Banach algebras that are not isomorphic to a group algebra. Revista Colombiana de Matemáticas, 42(1), 67–72. https://revistas.unal.edu.co/index.php/recolma/article/view/94994

ACM

[1]
Diomedes, Walter und Edixon 2008. A note on Banach algebras that are not isomorphic to a group algebra. Revista Colombiana de Matemáticas. 42, 1 (Jan. 2008), 67–72.

ACS

(1)
Diomedes; Walter; Edixon. A note on Banach algebras that are not isomorphic to a group algebra. rev.colomb.mat 2008, 42, 67-72.

ABNT

DIOMEDES; WALTER; EDIXON. A note on Banach algebras that are not isomorphic to a group algebra. Revista Colombiana de Matemáticas, [S. l.], v. 42, n. 1, p. 67–72, 2008. Disponível em: https://revistas.unal.edu.co/index.php/recolma/article/view/94994. Acesso em: 22 jan. 2025.

Chicago

Diomedes, Walter, und Edixon. 2008. „A note on Banach algebras that are not isomorphic to a group algebra“. Revista Colombiana De Matemáticas 42 (1):67-72. https://revistas.unal.edu.co/index.php/recolma/article/view/94994.

Harvard

Diomedes, Walter und Edixon (2008) „A note on Banach algebras that are not isomorphic to a group algebra“, Revista Colombiana de Matemáticas, 42(1), S. 67–72. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/94994 (Zugegriffen: 22 Januar 2025).

IEEE

[1]
Diomedes, Walter, und Edixon, „A note on Banach algebras that are not isomorphic to a group algebra“, rev.colomb.mat, Bd. 42, Nr. 1, S. 67–72, Jan. 2008.

MLA

Diomedes, Walter, und Edixon. „A note on Banach algebras that are not isomorphic to a group algebra“. Revista Colombiana de Matemáticas, Bd. 42, Nr. 1, Januar 2008, S. 67-72, https://revistas.unal.edu.co/index.php/recolma/article/view/94994.

Turabian

Diomedes, Walter, und Edixon. „A note on Banach algebras that are not isomorphic to a group algebra“. Revista Colombiana de Matemáticas 42, no. 1 (Januar 1, 2008): 67–72. Zugegriffen Januar 22, 2025. https://revistas.unal.edu.co/index.php/recolma/article/view/94994.

Vancouver

1.
Diomedes, Walter, Edixon. A note on Banach algebras that are not isomorphic to a group algebra. rev.colomb.mat [Internet]. 1. Januar 2008 [zitiert 22. Januar 2025];42(1):67-72. Verfügbar unter: https://revistas.unal.edu.co/index.php/recolma/article/view/94994

Bibliografische Angaben herunterladen

Aufrufe der Abstractseiten von Artikeln

31

Downloads

Keine Nutzungsdaten vorhanden.