On property (gw1)

Authors : M. H. M. RASHİD

Pages : 603-611

View : 12 | Download : 4

Publication Date : 2014-08-01

Article Type : Research Paper

Abstract :In this note we introduce and study the property insert ignore into journalissuearticles values(gw1);, which extend property insert ignore into journalissuearticles values(gw); introduced by Amouch and Berkani in [7]. We investigate the property insert ignore into journalissuearticles values(gw1); in connection with Weyl type theorems, and establish for abounded linear operator defined on a Banach space the sufficient and necessary conditions for which property insert ignore into journalissuearticles values(gw1); holds. We also study the property insert ignore into journalissuearticles values(gw1); for operators satisfying the single valued extension property insert ignore into journalissuearticles values(SVEP);. Classes of operators are considered as illustrating examples.
Keywords : Generalized Weyls theorem, Generalized a Weyls theorem, Property gw1, , Property gw, , Polaroid operators, Perturbation Theory