Authors
Citation
Jr. Peters et Wr. Wogen, Commutative radical operator algebras, J OPER THEO, 42(2), 1999, pp. 405-424
Citations number
15
Categorie Soggetti
Mathematics
Journal title
JOURNAL OF OPERATOR THEORY
ISSN journal
03794024
→ ACNP
Volume
42
Issue
2
Year of publication
1999
Pages
405 - 424
Database
ISI
SICI code
0379-4024(199923)42:2<405:CROA>2.0.ZU;2-C
Abstract
Let A be a norm-dosed operator algebra which is radical; that is, each elem
ent in A is quasinilpotent. We consider the case when such algebras satisfy
the stronger condition of being uniformly topologically nil. In particular
, we study this question when A is generated by a quasinilpotent weighted s
hift or by the Volterra operator.