Turkish Journal of Mathematics
DOI
10.3906/mat-1011-5
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\rangle 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.
Keywords
Banach lattice, topologically full center, invariant subspace, weakly compact-friendly
First Page
291
Last Page
295
Recommended Citation
ÇAĞLAR, MERT and MISIRLIOĞLU, REMZİ TUNÇ
(2012)
"Invariant subspaces of weakly compact-friendly operators,"
Turkish Journal of Mathematics: Vol. 36:
No.
2, Article 10.
https://doi.org/10.3906/mat-1011-5
Available at:
https://journals.tubitak.gov.tr/math/vol36/iss2/10
