Weakly Compact-Friendly Operators
Weakly Compact-Friendly Operators
Summary: We introduce weak compact-friendliness as an extension of compact-friendliness, and prove that if a non-zero weakly compact-friendly operator \(B:E\to E\) 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.
- Istanbul Kültür University Turkey
pozitif operatör, Invariant subspaces of linear operators, zayıf kompakt dostu, lokal yarı-nilpotent, weakly compact-friendly, Değişmeyen alt uzay, Invariant subspace, locally quasi-nilpotent, invariant subspace, Linear operators defined by compactness properties, Linear operators on ordered spaces, positive operator
pozitif operatör, Invariant subspaces of linear operators, zayıf kompakt dostu, lokal yarı-nilpotent, weakly compact-friendly, Değişmeyen alt uzay, Invariant subspace, locally quasi-nilpotent, invariant subspace, Linear operators defined by compactness properties, Linear operators on ordered spaces, positive operator
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