Title of article :
Invariant subspaces of weakly compact-friendly operators
Author/Authors :
Caglar, Mert Istanbul Kultur University - Department of Mathematics and Computer Science, TURKEY , Mısırlıoglu, Tunc Istanbul Kultur University - Department of Mathematics and Computer Science, TURKEY
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.
Keywords :
Banach lattice , topologically full center , invariant subspace , weakly compact , friendly
Journal title :
Turkish Journal of Mathematics
Journal title :
Turkish Journal of Mathematics
