Turkish Journal of Mathematics
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.
DOI
10.3906/mat-0903-37
Keywords
Invariant subspace, L- and M-weakly compact operator, Polynomially L-weakly (M-weakly) compact operator, Dunford-Pettis operator
First Page
267
Last Page
273
Recommended Citation
TONYALI, C, & BAYRAM, E (2011). Invariant subspace problem for positive L-weakly and M-weakly compact operators. Turkish Journal of Mathematics 35 (2): 267-273. https://doi.org/10.3906/mat-0903-37
