Publication: Invariant subspaces for positive operators on locally convex solid Riesz spaces
ELSEVIER SCIENCE BV, PO BOX 211, 1000 AE AMSTERDAM, NETHERLANDS
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 Abramovich, Aliprantis and Burkinshaw [J. Funct. Anal. 115 (1993) 418-424] is also given.
positive operator, semigroup, invariant subspace, quasinilpotent, weak quasinilpotent, pozitif operatör, yarıgrup, değişmeyen alt uzay, yarınilpotent, zayıf yarınilpotent