Abstract. In [AMB] we introduced and studied property $(gw),$ which is an extension to the context of B-Fredholm theory, of the property $(w)$ introduced by Rakočević in [RA1]. In this paper we continue the study of property $(gw)$ and we consider its preservation under perturbations by finite rank and nilpotent operators.
AMS Subject Classification
(1991): 47A53, 47A10, 47A11
Keyword(s):
B,
-Fredholm operator,
Weyl's theorem,
generalized Weyl's theorem,
a,
-Weyl's theorem,
a,
generalized-Weyl's theorem,
(gw),
property
Received June 21, 2007, and in final form January 31, 2008. (Registered under 6045/2009.)
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