Open AccessOn the essential numerical spectrum of operators on Banach spaces
Author(s) -
Bouthaina Abdelhedi,
Wissal Boubaker,
Nedra Moalla
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/fil1907191a
Subject(s) - mathematics , numerical range , essential spectrum , spectrum (functional analysis) , banach space , approximation property , finite rank operator , operator (biology) , pure mathematics , biochemistry , chemistry , physics , repressor , quantum mechanics , transcription factor , gene
The purpose of this paper is to define and develop a new notion of the essential numerical spectrum ?en(.) of an operator on a Banach space X and to study its properties. Our definition is closely related to the essential numerical range We(.).