- Turkish Journal of Mathematics
- Vol: 36 Issue: 2
- Invariant subspaces of weakly compact-friendly operators
Invariant subspaces of weakly compact-friendly operators
Authors : Mert Çağlar, Tunç Misirlioğlu
Pages : 291-295
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Publication Date : 9999-12-31
Article Type : Makaleler
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