Weakly Compact-Friendly Operators
Vladikavkaz Mathematical Journal, cilt.11, sa.2, ss.27-30, 2009 (Scopus)
- Yayın Türü: Makale / Tam Makale
- Cilt numarası: 11 Sayı: 2
- Basım Tarihi: 2009
- Dergi Adı: Vladikavkaz Mathematical Journal
- Derginin Tarandığı İndeksler: Scopus, MathSciNet, zbMATH
- Sayfa Sayıları: ss.27-30
- Açık Arşiv Koleksiyonu: AVESİS Açık Erişim Koleksiyonu
- İstanbul Kültür Üniversitesi Adresli: Evet
Özet
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 compactfriendliness are also discussed.