Open AccessSpectral theory for polynomially demicompact operators
Author(s) -
Fatma Brahim Ben,
Aref Jeribi,
Bilel Krichen
Publication year - 2019
Publication title -
filomat
Language(s) - English
Resource type - Journals
SCImago Journal Rank - 0.449
H-Index - 34
eISSN - 2406-0933
pISSN - 0354-5180
DOI - 10.2298/fil1907017b
Subject(s) - mathematics , generalization , fredholm theory , operator (biology) , fredholm integral equation , polynomial , linear operators , algebra over a field , spectral theory , operator theory , spectrum (functional analysis) , discrete mathematics , pure mathematics , mathematical analysis , integral equation , hilbert space , biochemistry , chemistry , physics , bounded function , repressor , quantum mechanics , transcription factor , gene
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 defined linear operator. Our work is a generalization of many known ones in the literature.