Some new properties in fredholm theory, Schechter essential spectrum, and application to transport theory

21Citations
Citations of this article
6Readers
Mendeley users who have this article in their library.

This article is free to access.

Abstract

The theory of measures of noncompactness has many applications on topology, functional analysis, and operator theory.In this paper, we consider one axiomatic approach to this notion which includes the most important classical definitions. We give some results concerning a certain class of semi-Fredholm and Fredholm operators via the concept of measures of noncompactness. Moreover,we establish a fine description of the Schechter essential spectrum of a closed densely defined operators. These results are exploited to investigate the Schechter essential spectrum of a multidimensional neutron transport operator.

Cite

CITATION STYLE

APA

Abdelmoumen, B., Dehici, A., Jeribi, A., & Mnif, M. (2008). Some new properties in fredholm theory, Schechter essential spectrum, and application to transport theory. Journal of Inequalities and Applications, 2008. https://doi.org/10.1155/2008/852676

Register to see more suggestions

Mendeley helps you to discover research relevant for your work.

Already have an account?

Save time finding and organizing research with Mendeley

Sign up for free