Invariant subspace problem for positive L-weakly and M-weakly compact operators

Authors : Cevriye TONYALI, Erdal BAYRAM

Pages : 267-273

View : 14 | Download : 7

Publication Date : 0000-00-00

Article Type : Research Paper

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 insert ignore into journalissuearticles values(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.
Keywords : Invariant subspace, L and M weakly compact operator, Polynomially L weakly M weakly, compact operator, Dunford Pettis operator