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.
ÇAĞLAR, MERT and MISIRLIOĞLU, REMZİ TUNÇ
"Invariant subspaces of weakly compact-friendly operators,"
Turkish Journal of Mathematics: Vol. 36:
2, Article 10.
Available at: https://journals.tubitak.gov.tr/math/vol36/iss2/10