•  
  •  
 

Turkish Journal of Mathematics

DOI

10.3906/mat-0903-37

Abstract

In this paper, we show that positive L-weakly and M-weakly compact operators on some real Banach lattices have a non-trivial closed invariant subspace. Also, we prove that any positive L-weakly (or M-weakly) compact operator T:E \rightarrow E\ has a non-trivial closed invariant subspace if there exists a Dunford-Pettis operator S:E \rightarrow E satisfying 0 \leq T \leq S, where E is Banach lattice.

First Page

267

Last Page

273

Included in

Mathematics Commons

Share

COinS