On generalized $a$-Browder's theorem
Tom 180 / 2007
Studia Mathematica 180 (2007), 285-300
MSC: Primary 47A10, 47A11; Secondary 47A53, 47A55.
DOI: 10.4064/sm180-3-7
Streszczenie
We characterize the bounded linear operators $T$ satisfying generalized $a$-Browder's theorem, or generalized $a$-Weyl's theorem, by means of localized SVEP, as well as by means of the quasi-nilpotent part $H_0(\lambda I-T)$ as $\lambda$ belongs to certain sets of $\mathbb C$. In the last part we give a general framework in which generalized $a$-Weyl's theorem follows for several classes of operators.
