Invariant subspaces of weakly compact-friendly operators

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ÇAĞLAR M., Misirlioglu T.

TURKISH JOURNAL OF MATHEMATICS, no.2, pp.291-295, 2012 (SCI-Expanded) identifier

  • Publication Type: Article / Article
  • Publication Date: 2012
  • Doi Number: 10.3906/mat-1011-5
  • Journal Name: TURKISH JOURNAL OF MATHEMATICS
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus, TR DİZİN (ULAKBİM)
  • Page Numbers: pp.291-295
  • Istanbul Kültür University Affiliated: Yes

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.