Publication:
Invariant Subspaces of Weakly Compact-friendly Operators

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Date
2012
Authors
Çağlar, Mert
Mısırlıoğlu, Remzi Tunç
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Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvari No 221, Kavaklidere, Tr-06100 Ankara, Turkey
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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.

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Keywords
Banach Lattice , Topologically Full Center , Invariant Subspace , Weakly Compact-friendly , Topolojik Olarak Tam Merkez , Değişmeyen Altuzay , Zayıf Kompaktlık
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