Ammar / Jeribi Spectral Theory of Block Multivalued Operator Matrices

Erscheinungsjahr 2025
ISBN: 978-981-950397-1
Verlag: Springer Singapore
Format: PDF
Kopierschutz: 1 - PDF Watermark

E-Book, Englisch, 610 Seiten

Reihe: Infosys Science Foundation Series

This book presents a wide panorama of methods to investigate the spectral theory of bounded and unbounded block matrices of linear relations. It explains some conditions to prove some Frobenius–Schur decompositions for linear relations and characterizes the stability of the essential spectra of these linear relations. It focuses on the study of the Fredholm theory in both Banach and Hilbert spaces, the local spectral theory of multivalued linear operators and the block matrix of linear relations. As a pioneering literature discussing spectral theory of bounded and unbounded block matrices of linear relations, this book attempts to contribute to the scarce literature on the topic. It gathers the minimum needed background material which allows a relatively friendly access to the book. Detailed proofs of all theorems are exhibited with accuracy and clarity, allowing students to thoroughly familiarize themselves with all the basic concepts.

Zielgruppe

Research

Autoren/Hrsg.

Ammar, Aymen

Jeribi, Aref

Inhaltsverzeichnis

Algebraic and topological properties of block multivalued operator matrices.- Spectra and local spectral theory for block multivalued operator matrices.- Pseudospectra, and numerical range of linear relations.- Frobenius-Schur factorization and essential spectra of block multivalued operator matrices.

Über Autor(innen)

Aymen Ammar is Professor at the Department of Mathematics, Faculty of Sciences of Sfax, University of Sfax, Tunisia. He is a co-author of the book, with Aref Jeribi. He has published more than 111 paper in several international journals. His areas of interest include spectral theory, matrix operators, transport theory, and linear relations. 

Aref Jeribi is Professor in the Department of Mathematics, University of Sfax, Tunisia. He completed his Habilitation of Mathematics and Applications at the University of Sfax, Tunisia, in 2002, and defended his PhD thesis at the University of Corsica Pasquale Paoli, France, in 1998. His research interests include spectral theory, matrix operators, transport theory, Gribov operator, Bargmann space, fixed point theory, Riesz basis and linear relations. He is an author of 13 books, including , , (Springer, 2025), (Springer, 2021) and (Springer, 2015) and more than 234 research articles published in reputed journals and conference proceedings.