Glasnik matematički, Vol. 50 No. 2, 2015.
Original scientific paper
https://doi.org/10.3336/gm.50.2.11
LOCALIZED SVEP AND THE COMPONENTS OF QUASI-FREDHOLM RESOLVENT SET
Qingping Zeng
; College of Computer and Information Sciences, Fujian Agriculture and Forestry University, 350002 Fuzhou, P.R. China
Huaijie Zhong
; School of Mathematics and Computer Science, Fujian Normal University, 350007 Fuzhou, P.R. China
Qiaofen Jiang
; School of Mathematics and Computer Science, Fujian Normal University, 350007 Fuzhou, P.R. China
Abstract
In this paper, new characterizations of the single valued extension property are given, for a bounded linear operator T acting on a Banach space and its adjoint T*, at Λ0 C in the case that Λ0 I - T is quasi-Fredholm. With the help of a classical perturbation result concerning operators with eventual topological uniform descent, we show the constancy of certain subspace valued mappings on the components of quasi-Fredholm resolvent set. As a consequence, we obtain a classification of these components.
Keywords
Single valued extension property; quasi-Fredholm operators; quasi-Fredholm resolvent set
Hrčak ID:
150149
URI
Publication date:
29.12.2015.
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