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
Local Spectral Theory and Surjective Spectrum of Linear Relations
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DOI: 10.1007/s11253-021-01920-3
Abstract: UDC 517.98 This paper initiates a study of local spectral theory for linear relations. At the beginning, we define the local spectrum and study its properties. Then we obtain results related to the correlation analytic… read more here.
Keywords: local spectral; surjective spectrum; linear relations; spectral theory ... See more keywords
Spectral theory for polynomially demicompact operators
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DOI: 10.2298/fil1907017b
Abstract: In this article, we introduce the notion of polynomial demicompactness and we use it to give some results on Fredholm operators and to establish a fine description of some essential spectra of a closed densely… read more here.
Keywords: polynomially demicompact; demicompact operators; spectral theory; theory polynomially ... See more keywords