Spectral Theory of Block Multivalued Operator Matrices / by Aymen Ammar, Aref Jeribi.

Format:

Book

Author/Creator:

Ammar, Aymen.

Contributor:

Jeribi, Aref.

Series:

Infosys Science Foundation Series in Mathematical Sciences, 2364-4044

Language:

English

Subjects (All):

Operator theory.

Operator Theory.

Local Subjects:

Operator Theory.

Physical Description:

1 online resource (812 pages)

Edition:

1st ed. 2025.

Place of Publication:

Singapore : Springer Nature Singapore : Imprint: Springer, 2025.

Summary:

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.

Contents:

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.

Notes:

Description based on publisher supplied metadata and other sources.

ISBN:

981-9503-97-3

9789819503971

OCLC:

1572182455