Work

Ascent, essential ascent, descent and essential descent for a linear relation in a linear space

Year: 2017

Type: article

Abstract: For a linear relation in a linear space some spectra defined by means of ascent, essential ascent, descent and essential descent are introduced and studied. We prove that the algebraic ascent, essential ascent, descent and essential descent spectrum of a linear relation in a linear space satisfy the polynomial spectral mapping theorem. As an application of the obtained results we show that the topological ascent, essential ascent, descent and essential descent spectrum verify the polynomial spectral mapping theorem.

Source: Filomat

DOI: 10.2298/fil1703709c

Authors: Ezzeddine Chafai, Tereza Álvarez

Institutions: University of Sfax, Faculty of Sciences of Sfax, Universidad de Oviedo

Language: English

Topic: Holomorphic and Operator Theory

Subfield: Applied Mathematics

Field: Mathematics

Domain: Physical Sciences

Open Access status: hybrid

OpenAlex ID: W1751819293

FWCI: 0.523

Cites: 14

Cited by: 5

Related to: 10