Publication:
Weakly Compact-Friendly Operators

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Date

2009

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Çağlar, Mert

Mısırlıoğlu, Remzi Tunç

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item.page.editor

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Institution Of Russian Academy Of Sciences South Mathematical İnstitute Of Vladikavkaz Scientific Center Of The Russian Academy Of Sciences And The Government Of Republic Of North Ossetia-Alania, 22, Markusa Street, Vladikavkaz, 362027

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Article

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Abstract

We introduce weak compact-friendliness as an extension of compact-friendliness, and and prove that if a non-zero weakly compact-friendly operator B: E→ E on a Banach lattice is quasi-nilpotent at some non-zero positive vector, then B has a non-trivial closed invariant ideal. Relevant facts related to compact-friendliness are also discussed.

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ISSN

1683-3414

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Keywords

Invariant subspace , positive operator , weakly compact-friendly , locally quasi-nilpotent , Değişmeyen alt uzay , pozitif operatör , zayıf kompakt dostu , lokal yarı-nilpotent

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http://hdl.handle.net/11413/1289

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Matematik ve Bilgisayar Bölümü / Department of Mathematics and Computer Science

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