Abstract. Some classical perturbation results on Fredholm theory are proved and extended by using the stability of the localized single-valued extension property under Riesz commuting perturbations. In the last part, we give some results concerning the stability of property $(gR)$ and property $(gb)$.
DOI: 10.14232/actasm-014-785-1
AMS Subject Classification
(1991): 47A10, 47A11; 47A53, 47A55
Keyword(s):
localized SVEP,
operators with topological uniform descent,
Riesz operators,
property $(gR)$ and property $(gb)$
Received April 17, 2014, and in revised form December 5, 2014. (Registered under 35/2014.)
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