REGULARITY AND AMENABILITY OF THE SECOND DUAL OF WEIGHTED GROUP ALGEBRAS

For a wide variety of Banach algebras A (containing the group algebras L¹(G), M (G) and A(G)) the Arens regularity of A** is equivalent to that A, and the amenability of A** is equivalent to the amenability and regularity of A. In this paper, among other things, we show that this variety contains th...

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Autores principales: REJALI,A., VISHKI,H. R. E.
Lenguaje:English
Publicado: Universidad Católica del Norte, Departamento de Matemáticas 2007
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Acceso en línea:http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300004
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spelling oai:scielo:S0716-091720070003000042008-01-28REGULARITY AND AMENABILITY OF THE SECOND DUAL OF WEIGHTED GROUP ALGEBRASREJALI,A.VISHKI,H. R. E. Arens product Weighted group algebra Amenability For a wide variety of Banach algebras A (containing the group algebras L¹(G), M (G) and A(G)) the Arens regularity of A** is equivalent to that A, and the amenability of A** is equivalent to the amenability and regularity of A. In this paper, among other things, we show that this variety contains the weighted group algebras L¹(G, w) and M(G, w).info:eu-repo/semantics/openAccessUniversidad Católica del Norte, Departamento de MatemáticasProyecciones (Antofagasta) v.26 n.3 20072007-12-01text/htmlhttp://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300004en10.4067/S0716-09172007000300004
institution Scielo Chile
collection Scielo Chile
language English
topic Arens product
Weighted group algebra
Amenability
spellingShingle Arens product
Weighted group algebra
Amenability
REJALI,A.
VISHKI,H. R. E.
REGULARITY AND AMENABILITY OF THE SECOND DUAL OF WEIGHTED GROUP ALGEBRAS
description For a wide variety of Banach algebras A (containing the group algebras L¹(G), M (G) and A(G)) the Arens regularity of A** is equivalent to that A, and the amenability of A** is equivalent to the amenability and regularity of A. In this paper, among other things, we show that this variety contains the weighted group algebras L¹(G, w) and M(G, w).
author REJALI,A.
VISHKI,H. R. E.
author_facet REJALI,A.
VISHKI,H. R. E.
author_sort REJALI,A.
title REGULARITY AND AMENABILITY OF THE SECOND DUAL OF WEIGHTED GROUP ALGEBRAS
title_short REGULARITY AND AMENABILITY OF THE SECOND DUAL OF WEIGHTED GROUP ALGEBRAS
title_full REGULARITY AND AMENABILITY OF THE SECOND DUAL OF WEIGHTED GROUP ALGEBRAS
title_fullStr REGULARITY AND AMENABILITY OF THE SECOND DUAL OF WEIGHTED GROUP ALGEBRAS
title_full_unstemmed REGULARITY AND AMENABILITY OF THE SECOND DUAL OF WEIGHTED GROUP ALGEBRAS
title_sort regularity and amenability of the second dual of weighted group algebras
publisher Universidad Católica del Norte, Departamento de Matemáticas
publishDate 2007
url http://www.scielo.cl/scielo.php?script=sci_arttext&pid=S0716-09172007000300004
work_keys_str_mv AT rejalia regularityandamenabilityoftheseconddualofweightedgroupalgebras
AT vishkihre regularityandamenabilityoftheseconddualofweightedgroupalgebras
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