Work

On the Essential Spectrum of Operator Pencils

Year: 2024
Type: article
Abstract: ABSTRACT For a closed densely defined linear operator and a bounded linear operator on a Banach space whose essential spectrums are contained in disjoint sectors, we show that the essential spectrum of the associated operator pencil is contained in a sector of the complex plane whose boundaries are determined purely by the angles that define the two sectors, which contain the essential spectrums of and .
Source: PAMM
Language: English
Open Access status: hybrid
Estimated APC paid: $3,090
OpenAlex ID: W4405123380
FWCI: 0.651
Cites: 10
Cited by: 1
Related to: 10