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OverviewExamining recent mathematical developments in the study of Fredholm operators, spectral theory and block operator matrices, with a rigorous treatment of classical Riesz theory of polynomially-compact operators, this volume covers both abstract and applied developments in the study of spectral theory. These topics are intimately related to the stability of underlying physical systems and play a crucial role in many branches of mathematics as well as numerous interdisciplinary applications. By studying classical Riesz theory of polynomially compact operators in order to establish the existence results of the second kind operator equations, this volume will assist the reader working to describe the spectrum, multiplicities and localization of the eigenvalues of polynomially-compact operators. Full Product DetailsAuthor: Aref JeribiPublisher: Springer International Publishing AG Imprint: Springer International Publishing AG Edition: Softcover reprint of the original 1st ed. 2015 Dimensions: Width: 15.50cm , Height: 3.10cm , Length: 23.50cm Weight: 9.183kg ISBN: 9783319372891ISBN 10: 3319372890 Pages: 599 Publication Date: 15 October 2016 Audience: Professional and scholarly , Professional & Vocational Format: Paperback Publisher's Status: Active Availability: Manufactured on demand We will order this item for you from a manufactured on demand supplier. Table of ContentsIntroduction.- Fredholm Operators and Riesz Theory.- Abstract Cauchy Problem.- Fredholm Theory Related to Some Measures.- Pertubation Results.- Essential Spectra of Linear Operators.- Essentia Pseudo-spectra.- S-Essential Spectra.- Essential Spectra of 2 X 2 Block Operator Matrices.- Essential Spectra of 3 X 3 Block Operator Matrices.- Applications in Mathematical Physics and Biology.ReviewsThe author studies specifically some relevant aspects of the spectral theory for block operator matrices from a new standpoint and incorporates recent results of his own works. ... the book provides a large variety of important applications in many branches of mathematics as well as physics, biology, and some open questions are given, too. This book may be of interest for both experienced researchers and graduate students. (Carlos R. Carpintero, zbMATH 1354.47001, 2017) Author InformationProf. Dr. Aref Jeribi is a Professor in the Department of Mathematics at the University of Sfax in Sfax, Tunisia. Tab Content 6Author Website:Countries AvailableAll regions |