Spectral Theory and Applications of Linear Operators and Block Operator Matrices

Prof. Dr. Aref Jeribi is a Professor in the Department of Mathematics at the University of Sfax in Sfax, Tunisia.

 Introduction.- 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. 

"The 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)