Work

Descent and essential descent spectrum of linear relations

Year: 2014

Type: article

Abstract: In this paper, we study the descent spectrum and the essential descent spectrum\nof linear relations everywhere defined on Banach spaces. We prove that the corresponding\nspectra are closed and we obtain that a Banach space X is finite dimensional if and only\nif the descent and the essential descent of every closed linear relation acting in X is finite.\nWe give characterizations of the descent and the essential descent of linear relations and as\napplications, some perturbation results are presented.

Source: LA Referencia (Red Federada de Repositorios Institucionales de Publicaciones Científicas)

Authors: Ezzeddine Chafai, Maher Mnif

Language: English

Topic: Advanced Banach Space Theory

Subfield: Mathematical Physics

Field: Mathematics

Domain: Physical Sciences

Open Access status: green

OpenAlex ID: W2183672981

FWCI: 0.358

Cites: 24

Cited by: 6

Related to: 10