Now showing items 1-4 of 4

    • A Note On A Problem Of Abramovich, Aliprantis And Burkinshaw 

      Çağlar, Mert; Mısırlıoğlu, Remzi Tunç (Springer, Van Godewijckstraat 30, 3311 Gz Dordrecht, Netherlands, 2011-09)
      Let B and T be two positive operators on a Banach lattice such that B is compact-friendly and T is locally quasi-nilpotent. Introducing the concept of positive quasi-similarity, we prove that T has a non-trivial closed ...
    • Invariant subspaces for positive operators on locally convex solid Riesz spaces 

      Zafer, Ercan; Çağlar, Mert (ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS, 2007-09-24)
      We prove that an x(0)-quasinilpotent semigroup S of continuous positive linear operators on a locally convex solid Riesz space X has a common invariant subspace. Using this, a result which implies the main theorem of ...
    • On positive operators without invariant sublattices 

      Çağlar, Mert; Gönülli, Uğur; Mısırlıoğlu, Remzi Tunç (2009)
      By slightly modifying some of the examples given in [6], we obtain further examples of positive operators on the discrete Banach lattices c0, c, and `p (1 ≤ p < ∞) without non-trivial closed invariant sublattices.
    • Weakly Compact-Friendly Operators 

      Çağlar, Mert; 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, 2009)
      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 ...