Invariant subspaces of weakly compact-friendly operators

Authors: MERT ÇAĞLAR, REMZİ TUNÇ MISIRLIOĞLU

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

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