Spectral Theory Involving the Concept of Quasi-Compact Perturbations
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DOI: 10.1007/s00009-019-1468-x
Abstract: In this paper, we establish some new spectral properties of bounded operators acting in Banach spaces by means of the concept of quasi-compact operators. Furthermore, we discuss the incidence of some perturbation results on the… read more here.
Keywords: theory involving; spectral theory; quasi compact; compact perturbations ... See more keywords
On the Solvability of Inclusions with Multivalued Compact Perturbations of Bi-Mappings
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DOI: 10.1007/s11228-017-0431-x
Abstract: AbstractThis paper is about the solvability of the inclusion A(u,u)+F(u)∋L,$$A(u,u) + F(u) \ni L , $$ where X is a reflexive Banach space, L ∈ X∗, A is maximal monotone in one argument and continuous… read more here.
Keywords: multivalued compact; compact perturbations; solvability inclusions; inclusions multivalued ... See more keywords
Quasi-Fredholm Spectrum and Compact Perturbations
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DOI: 10.1007/s11785-020-00981-9
Abstract: In this paper we explore some characteristics of the quasi-Fredholm resolvent set $$\rho _{qf}(T)$$ ρ qf ( T ) of an operator T defined on an infinite dimensional Banach space X . Moreover, in the… read more here.
Keywords: spectrum compact; compact perturbations; fredholm spectrum; quasi fredholm ... See more keywords