Bilel Krichen

Spectral Theory for Linear Operators (eBook, PDF)

Demicompactness and Perturbation Theory

• Format: PDF

Produktbeschreibung

This book focuses on spectral theory for linear operators involving bounded or unbounded demicompact linear operators acting on Banach spaces.

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Produktdetails

• Verlag: Taylor & Francis eBooks
• Seitenzahl: 344
• Erscheinungstermin: 1. August 2025
• Englisch
• ISBN-13: 9781040382592
• Artikelnr.: 74367615

Autorenporträt

Bilel Krichen is a Professor in the department of mathematics at the University of Sfax, Tunisia. He completed both his PhD in Mathematics in 2011 and his Habilitation in Mathematics in 2016 at the same institution. His research focuses on key areas of functional analysis, including the interplay between operator theory and fixed point theory, with applications to transport equations and other mathematical models. Prof. Dr. Krichen has been an active member of the mathematical community, notably serving as the vice president of the Tunisian Association of Applied Mathematics and Industry (ATMAI) from 2019 to 2022. His involvement with the association began in 2015, reflecting his commitment to fostering the development and application of mathematical sciences in Tunisia and beyond. A prolific scholar, Prof. Krichen has authored 88 research papers and supervised 9 graduate theses, mentoring the next generation of mathematicians. He is the author of the book Spectral Properties and Fixed Point Theory for Block Operator Matrix: Fixed Point Theory, Spectral Properties for Block Operator Matrix and Applications to Transport Equation (Scholar's Press 2014) and he is the co-author of the monograph Nonlinear Functional Analysis in Banach Spaces and Banach Algebras: Fixed Point Theory under Weak Topology for Nonlinear Operators and Block Operator Matrices with Applications (Monographs and Research Notes in Mathematics, CRC Press Taylor and Francis, Boca Raton, 2015).

Inhaltsangabe

1 Basic Tools of Functional Analysis 2 Closed, Bounded, Compact and Weakly
Compact Operators 3 Measures of Noncompactness MNCs 4 Fredholm and
Semi-Fredholm Operators 5 Demicompact Linear Operators 6 Demicompact
Nonlinear Operators 7 Demicompactness of Polynomial and Operator Matrices 8
Demicompactness and Fredholm Theory 9 Description of Essential Spectra
Under Demicompactness 10 Fredholm Operator Matrices Under Demicompactness
11 Relatively Pseudo Weakly Demicompact Operators 12 Some Results on
B-Fredholm and Demicompact Operators 13 Demicompactness and Restrictions 14
Generalized Weak Demicompactness and MNSS 15 Applications to Mathematical
Physics Problems