Now showing items 1-2 of 2

    • 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 ...