Invariant subspaces for positive operators acting on a Banach space with Markushevich basis

Ercan Z., Onal S.

POSITIVITY, vol.8, no.2, pp.123-126, 2004 (SCI-Expanded) identifier identifier

  • Publication Type: Article / Article
  • Volume: 8 Issue: 2
  • Publication Date: 2004
  • Doi Number: 10.1023/b:post.0000042836.20430.c2
  • Journal Name: POSITIVITY
  • Journal Indexes: Science Citation Index Expanded (SCI-EXPANDED), Scopus
  • Page Numbers: pp.123-126
  • Middle East Technical University Affiliated: No

Abstract

We introduce 'weak quasinilpotence' for operators. Then, by substituting 'Markushevich basis' and 'weak quasinilpotence at a nonzero vector' for 'Schauder basis' and 'quasinilpotence at a nonzero vector', respectively, we answer a question on the invariant subspaces of positive operators in [ 3].