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Positivity
Article . 2004 . Peer-reviewed
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Invariant Subspaces for Positive Operators Acting on a Banach Space with Markushevich Basis

Invariant subspaces for positive operators acting on a Banach space with Markushevich basis
descriptionPublicationkeyboard_double_arrow_right Article 01 Jun 2004 English Publisher:Springer Science and Business Media LLCJournal:Positivity, volume 8, pages 123-126 (issn: 1385-1292, eissn: 1572-9281, Copyright policy )
Authors: Ercan, Z.; Onal, S.;

doi: 10.1023/b:post.0000042836.20430.c2

Invariant Subspaces for Positive Operators Acting on a Banach Space with Markushevich Basis

Abstract

The paper proves the existence of nontrivial invariant subspaces for positive operators with ``weak quasinilpotence at a nonzero vector'' on Banach spaces with so-called ``Markushevich bases''.

Related Organizations
Keywords

Markushevich basis, Invariant subspaces of linear operators, Summability and bases; functional analytic aspects of frames in Banach and Hilbert spaces, Positive linear operators and order-bounded operators, invariant subspaces, positive operators

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
1
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