Turkish Journal of Mathematics
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.
DOI
10.3906/mat-1011-5
Keywords
Banach lattice, topologically full center, invariant subspace, weakly compact-friendly
First Page
291
Last Page
295
Recommended Citation
ÇAĞLAR, M, & MISIRLIOĞLU, R. T (2012). Invariant subspaces of weakly compact-friendly operators. Turkish Journal of Mathematics 36 (2): 291-295. https://doi.org/10.3906/mat-1011-5
