1st Edition

Spectral Theory of Multivalued Linear Operators

By Aymen Ammar, Aref Jeribi Copyright 2022
314 Pages
by Apple Academic Press

314 Pages
by Apple Academic Press

314 Pages
by Apple Academic Press

The concept of multivalued linear operators—or linear relations—is the one of the most exciting and influential fields of research in modern mathematics. Applications of this theory can be found in economic theory, noncooperative games, artificial intelligence, medicine, and more. This new book focuses on the theory of linear relations, responding to the lack of resources exclusively dealing with... Read more

1. Introduction

2. Fundamentals

3. The Stability Theorems of Multivalued Linear Operators

4. Essential Spectra and Essential Pseudospectra of a Linear Relation

Biography

Aymen Ammar, PhD, is currently with the Department of Mathematics, Faculty of Sciences of Sfax at the University of Sfax, Tunisia, where he is Assistant Professor. He has published many articles in international journals. His areas of interest include spectral theory, matrice operators, and linear relations.
Aref Jeribi, PhD, is Professor in the Department of Mathematics at the University of Sfax, Tunisia. He has authored several books on spectral theory and applications of linear operators and Banach spaces and Banach algebras. He has also published many journal articles in international journals. His areas of interest include spectral theory, matrice operators, transport theory, Gribov operator, Bargmann space, fixed point theory, Riesz basis, and linear relations.