Invariant subspaces of weakly compact-friendly operators
TURKISH JOURNAL OF MATHEMATICS, no.2, pp.291-295, 2012 (SCI-Expanded, Scopus, TRDizin)
- Publication Type: Article / Article
- Publication Date: 2012
- Doi Number: 10.3906/mat-1011-5
- Journal Name: TURKISH JOURNAL OF MATHEMATICS
- Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
- Page Numbers: pp.291-295
- Open Archive Collection: AVESIS Open Access Collection
- Istanbul Kültür University Affiliated: Yes
Abstract
We prove that if a non-zero weakly compact-friendly operator B on a Banach lattice with topologically full center is locally quasi-nilpotent, then the super right-commutant [B > of B has a non-trivial closed invariant ideal. An example of a weakly compact-friendly operator which is not compact-friendly is also provided.