๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

On the existence of approximate identities in ideals of group algebras

โœ Scribed by Haskell P. Rosenthal

Book ID
112789062
Publisher
Springer Netherlands
Year
1967
Tongue
English
Weight
421 KB
Volume
7
Category
Article
ISSN
0004-2080

No coin nor oath required. For personal study only.

๐Ÿ“œ SIMILAR VOLUMES

Approximate Identities for Ideals of Seg
Approximate Identities for Ideals of Segal Algebras on A Compact Group
โœ Yong Zhang ๐Ÿ“‚ Article ๐Ÿ“… 2002 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 106 KB

We show that every closed ideal of a Segal algebra on a compact group admits a central approximate identity which has the property, called condition (U), that the induced multiplication operators converge to the identity operator uniformly on compact sets of the ideal. This result extends a known on

Group Identities on Units of Group Algeb
Group Identities on Units of Group Algebras
โœ A. Giambruno; S.K. Sehgal; A. Valenti ๐Ÿ“‚ Article ๐Ÿ“… 2000 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 178 KB

Let U be the group of units of the group algebra FG of a group G over a field F. Suppose that either F is infinite or G has an element of infinite order. We characterize groups G so that U satisfies a group identity. Under the assumption that G modulo the torsion elements is nilpotent this gives a c