Weakly compact-friendly operators

Автор: Caglar Mert, Misirliouglu Tunc

Журнал: Владикавказский математический журнал @vmj-ru

Статья в выпуске: 2 т.11, 2009 года.

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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

Короткий адрес: https://sciup.org/14318269

IDR: 14318269

Список литературы Weakly compact-friendly operators

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