Publication: Weakly Compact-Friendly Operators
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Date
2009
Authors
Çağlar, Mert
Mısırlıoğlu, Remzi Tunç
Journal Title
Journal ISSN
Volume Title
Publisher
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
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.
Description
Keywords
Invariant subspace, positive operator, weakly compact-friendly, locally quasi-nilpotent, Değişmeyen alt uzay, pozitif operatör, zayıf kompakt dostu, lokal yarı-nilpotent