Geodesic
Weakly compact-friendly operators
Vladikavkazskij matematičeskij žurnal, Tome 11 (2009) no. 2, pp. 27-30 
M. Çağlar; T. Mısırlıoğlu. Weakly compact-friendly operators. Vladikavkazskij matematičeskij žurnal, Tome 11 (2009) no. 2, pp. 27-30. http://geodesic.mathdoc.fr/item/VMJ_2009_11_2_a3/
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Voir la notice de l'article provenant de la source Math-Net.Ru

We introduce weak compact-friendliness as an extension of compact-friendliness, and and prove that if a non-zero weakly compact-friendly operator $B\colon E\to E$ on a Banach lattice is quasi-nilpotent at some non-zero positive vector, then $B$ has a non-trivial closed invariant ideal. Relevant facts related to compact-friendliness are also discussed.

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