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Spectral theory of block multivalued operator matrices

Record Type:	Electronic resources : Monograph/item
Title/Author:	Spectral theory of block multivalued operator matricesby Aymen Ammar, Aref Jeribi.
Author:	Ammar, Aymen.
other author:	Jeribi, Aref.
Published:	Singapore :Springer Nature Singapore :2025.
Description:	xvi, 610 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Spectral theory (Mathematics)
Online resource:	https://doi.org/10.1007/978-981-95-0397-1
ISBN:	9789819503971$q(electronic bk.)

Spectral theory of block multivalued operator matrices
Ammar, Aymen.

Spectral theory of block multivalued operator matrices[electronic resource] /by Aymen Ammar, Aref Jeribi. - Singapore :Springer Nature Singapore :2025. - xvi, 610 p. :ill., digital ;24 cm. - Infosys science foundation series in mathematical sciences,2364-4044. - Infosys science foundation series in mathematical sciences..

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.

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.

ISBN: 9789819503971$q(electronic bk.)

Standard No.: 10.1007/978-981-95-0397-1doiSubjects--Topical Terms:

182365
Spectral theory (Mathematics)

LC Class. No.: QA329.2

Dewey Class. No.: 515.7246

Spectral theory of block multivalued operator matrices
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520 $a 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.
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