FINITE RANK ELEMENTS IN SEMISIMPLE BANACH-ALGEBRAS

Authors
BRESAR M SEMRL P
Citation
M. Bresar et P. Semrl, FINITE RANK ELEMENTS IN SEMISIMPLE BANACH-ALGEBRAS, Studia Mathematica, 128(3), 1998, pp. 287-298
Citations number
10
Categorie Soggetti
Mathematics,Mathematics
Journal title
Studia Mathematica → ACNP
ISSN journal
00393223
Volume
128
Issue
3
Year of publication
1998
Pages
287 - 298
Database
ISI
SICI code
0039-3223(1998)128:3<287:FREISB>2.0.ZU;2-2
Abstract
Let A be a semisimple Banach algebra. We define the rank of a nonzero element a in the socle of A to be the minimum of the number of minimal left ideals whose sum contains a. Several characterizations of rank a re proved.