Share

Spectral Theory and Applications of Linear Operators and Block Operator Matrices

2015-07-04 Science
Download Spectral Theory and Applications of Linear Operators and Block Operator Matrices PDF Online Free

Author :
Release : 2015-07-04
Genre : Science
Kind : eBook
Book Rating : 661/5 ( reviews)

GET EBOOK


Book Synopsis Spectral Theory and Applications of Linear Operators and Block Operator Matrices by : Aref Jeribi

Download or read book Spectral Theory and Applications of Linear Operators and Block Operator Matrices written by Aref Jeribi. This book was released on 2015-07-04. Available in PDF, EPUB and Kindle. Book excerpt: Examining 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.

Spectral Theory of Block Operator Matrices and Applications

2008 Science
Download Spectral Theory of Block Operator Matrices and Applications PDF Online Free

Author :
Release : 2008
Genre : Science
Kind : eBook
Book Rating : 689/5 ( reviews)

GET EBOOK


Book Synopsis Spectral Theory of Block Operator Matrices and Applications by : Christiane Tretter

Download or read book Spectral Theory of Block Operator Matrices and Applications written by Christiane Tretter. This book was released on 2008. Available in PDF, EPUB and Kindle. Book excerpt: This book presents new concepts in operator theory and covers classes of operators (in particular, non-selfadjoint operators) which exhibit various interesting phenomena. Special attention is paid to applications in many areas of mathematical physics, including quantum mechanics, fluid mechanics, and magnetohydrodynamics.The author also discusses an operator theoretic approach to spectral problems for linear operators admitting a certain block structure. The results apply to bounded or finite-dimensional operators like block matrices as well to unbounded operators describing systems of differential equations. New concepts of numerical range are developed.

Perturbation Theory for Linear Operators

2021-07-28 Mathematics
Download Perturbation Theory for Linear Operators PDF Online Free

Author :
Release : 2021-07-28
Genre : Mathematics
Kind : eBook
Book Rating : 28X/5 ( reviews)

GET EBOOK


Book Synopsis Perturbation Theory for Linear Operators by : Aref Jeribi

Download or read book Perturbation Theory for Linear Operators written by Aref Jeribi. This book was released on 2021-07-28. Available in PDF, EPUB and Kindle. Book excerpt: This book discusses the important aspects of spectral theory, in particular, the completeness of generalised eigenvectors, Riesz bases, semigroup theory, families of analytic operators, and Gribov operator acting in the Bargmann space. Recent mathematical developments of perturbed non-self-adjoint operators are discussed with the completeness of the space of generalized eigenvectors, bases on Hilbert and Banach spaces and asymptotic behavior of the eigenvalues of these operators. Most results in the book are motivated by physical problems, such as the perturbation method for sound radiation by a vibrating plate in a light fluid, Gribov operator in Bargmann space and other applications in mathematical physics and mechanics. This book is intended for students, researchers in the field of spectral theory of linear non self-adjoint operators, pure analysts and mathematicians.

Linear Operators and Their Essential Pseudospectra

2018-04-17 Mathematics
Download Linear Operators and Their Essential Pseudospectra PDF Online Free

Author :
Release : 2018-04-17
Genre : Mathematics
Kind : eBook
Book Rating : 268/5 ( reviews)

GET EBOOK


Book Synopsis Linear Operators and Their Essential Pseudospectra by : Aref Jeribi

Download or read book Linear Operators and Their Essential Pseudospectra written by Aref Jeribi. This book was released on 2018-04-17. Available in PDF, EPUB and Kindle. Book excerpt: Linear Operators and Their Essential Pseudospectra provides a comprehensive study of spectral theory of linear operators defined on Banach spaces. The central items of interest in the volume include various essential spectra, but the author also considers some of the generalizations that have been studied. In recent years, spectral theory has witnessed an explosive development. This volume presents a survey of results concerning various types of essential spectra and pseudospectra in a unified, axiomatic way and also discusses several topics that are new but which relate to the concepts and methods emanating from the book. The main topics include essential spectra, essential pseudospectra, structured essential pseudospectra, and their relative sets. This volume will be very useful for several researchers since it represents not only a collection of previously heterogeneous material but also includes discussions of innovation through several extensions. As the spectral theory of operators is an important part of functional analysis and has numerous applications in many areas of mathematics, the author suggests that some modest prerequisites from functional analysis and operator theory should be in place to be accessible to newcomers and graduate students of mathematics.

Spectral Theory of Multivalued Linear Operators

2021-09-15 Mathematics
Download Spectral Theory of Multivalued Linear Operators PDF Online Free

Author :
Release : 2021-09-15
Genre : Mathematics
Kind : eBook
Book Rating : 130/5 ( reviews)

GET EBOOK


Book Synopsis Spectral Theory of Multivalued Linear Operators by : Aymen Ammar

Download or read book Spectral Theory of Multivalued Linear Operators written by Aymen Ammar. This book was released on 2021-09-15. Available in PDF, EPUB and Kindle. Book excerpt: The concept of multivalued linear operators—or linear relations—is the one of the most exciting and influential fields of research in modern mathematics. Applications of this theory can be found in economic theory, noncooperative games, artificial intelligence, medicine, and more. This new book focuses on the theory of linear relations, responding to the lack of resources exclusively dealing with the spectral theory of multivalued linear operators. The subject of this book is the study of linear relations over real or complex Banach spaces. The main purposes are the definitions and characterization of different kinds of spectra and extending the notions of spectra that are considered for the usual one single-valued operator bounded or not bounded. The volume introduces the theory of pseudospectra of multivalued linear operators. The main topics include demicompact linear relations, essential spectra of linear relation, pseudospectra, and essential pseudospectra of linear relations. The volume will be very useful for researchers since it represents not only a collection of a previously heterogeneous material but is also an innovation through several extensions. Beginning graduate students who wish to enter the field of spectral theory of multivalued linear operators will benefit from the material covered, and expert readers will also find sources of inspiration.

You may also like...