Weakly Compact-Friendly Operators

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Mısırlıoğlu R. T., Çağlar M.

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
  • 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.