Publication: Invariant Subspaces of Weakly Compact-friendly Operators
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Date
2012
Authors
Çağlar, Mert
Mısırlıoğlu, Remzi Tunç
Journal Title
Journal ISSN
Volume Title
Publisher
Scientific Technical Research Council Turkey-Tubitak, Ataturk Bulvari No 221, Kavaklidere, Tr-06100 Ankara, Turkey
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.
Description
Keywords
Banach Lattice , Topologically Full Center , Invariant Subspace , Weakly Compact-friendly , Topolojik Olarak Tam Merkez , Değişmeyen Altuzay , Zayıf Kompaktlık