Perturbation Theory for Linear Operators

Denseness and Bases with Applications

Aref Jeribi author

Format:Hardback

Publisher:Springer Verlag, Singapore

Published:29th Jul '21

Currently unavailable, and unfortunately no date known when it will be back

Perturbation Theory for Linear Operators cover

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.

“The exposition of this book is clear, structured and almost self-contained. Several results related to Fredholm and spectral theories for Hilbert space operators are discussed in detail. A rich bibliography is provided at the end of each chapter. The book is addressed to students, researchers in the field of spectral theory of linear non-self-adjoint operators, and mathematicians interested in applications in mathematical physics. I think that pure analysts will have some new problems to tackle.” (Bilel Krichen, Mathematical Reviews, September, 2022)
“This book provides a very good collection of results for the study of the structural property of unbounded linear operators with compact resolvent, in particular, for the study of non-selfadjoint operators in Hilbert spaces.” (Gen Qi Xu, zbMATH 1483.47001, 2022)

ISBN: 9789811625275

Dimensions: unknown

Weight: 963g

509 pages