Publication: Weakly Compact-Friendly Operators
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Mısırlıoğlu, Remzi Tunç
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
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.
Invariant subspace, positive operator, weakly compact-friendly, locally quasi-nilpotent, Değişmeyen alt uzay, pozitif operatör, zayıf kompakt dostu, lokal yarı-nilpotent