Browsing by Subject "positive operator"
Now showing items 1-4 of 4
(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 ...
(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 ...
(2009)By slightly modifying some of the examples given in , we obtain further examples of positive operators on the discrete Banach lattices c0, c, and `p (1 ≤ p < ∞) without non-trivial closed invariant sublattices.
(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 ...