Izvorni znanstveni članak

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

Sažetak

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.

Ključne riječi

Single valued extension property; quasi-Fredholm operators; quasi-Fredholm resolvent set

Hrčak ID:

150149

URI

https://hrcak.srce.hr/150149

Datum izdavanja:

29.12.2015.

Posjeta: 1.222 *