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Spectral Theory of Multivalued Linear Operators
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Spectral Theory of Multivalued Linear Operators (Hardback)

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The concept of multivalued linear operators-or linear relations, 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, Spectral Theory of Multivalued Linear Operators, focuses on the theory of multivalued linear operators, responding to the lack of resources exclusively dealing with the spectral theory of multivalued linear operators.

The subject of this book is the study of linear relations over real or complex Banach spaces. The main purposes are the definitions and characterization of different kinds of spectra and extending the notions of spectra that are considered for the usual one single-valued operator bounded or not bounded. The volume introduces the theory of pseudospectra of multivalued linear operators. The main topics include demicompact linear relations, essential spectra of linear relation, pseudospectra, and essential pseudospectra of linear relations.

The volume will be very useful for researchers since it represents not only a collection of a previously heterogeneous material but is also an innovation through several extensions. Beginning graduate students who wish to enter the field of spectral theory of multivalued linear operators will benefit from the material covered, and an expert reader will also find some of the results interesting enough to be sources of inspiration. Prerequisites for the book are the basic courses in classical real and complex analysis and some knowledge of basic functional analysis. In fact, this theory constitutes a harmonious mixture of analysis (pure and applied), topology, and geometry.

Children'sEducational materialEducational: Sciences, general scienceScience & MathematicsMathematicsCalculus & mathematical analysis Publisher: Apple Academic Press Inc. Publication Date: 01/06/2021 ISBN-13: 9781771889667  Details: Type: Hardback Format: Books
Availability: Pre-order for despatch on publication. Pre-Order

Aymen Ammar, PhD, is currently with the Department of Mathematics, Faculty of Sciences of Sfax at the University of Sfax, Tunisia, where he is an 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 a Professor in the Department of Mathematics at the University of Sfax, Tunisia. He is the author of the book Spectral Theory and Applications of Linear Operators and Block Operator Matrices (2015), co-author of the book Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications (2015), the author of the book Denseness, Bases and Frames in Banach Spaces and Applications (2018), the author of the book Linear Operators and Their Essential Pseudospectra (2018), co-author of the book Analyse numerique matricielle methodes et algorithmes, exercices et problemes corriges (2020). He has 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.

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