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Perturbation theory for linear opera...

Jeribi, Aref.

Perturbation theory for linear operatorsdenseness and bases with applications /

Record Type:	Electronic resources : Monograph/item
Title/Author:	Perturbation theory for linear operatorsby Aref Jeribi.
Reminder of title:	denseness and bases with applications /
Author:	Jeribi, Aref.
Published:	Singapore :Springer Singapore :2021.
Description:	xxvi, 509 p. :ill., digital ;24 cm.
Contained By:	Springer Nature eBook
Subject:	Spectral theory (Mathematics)
Online resource:	https://doi.org/10.1007/978-981-16-2528-2
ISBN:	9789811625282$q(electronic bk.)

Perturbation theory for linear operatorsdenseness and bases with applications /
Jeribi, Aref.

Perturbation theory for linear operatorsdenseness and bases with applications /[electronic resource] :by Aref Jeribi. - Singapore :Springer Singapore :2021. - xxvi, 509 p. :ill., digital ;24 cm.

1. Basic notations and results2 Analysis with operators3 Series of complex terms -- 4. Carleman-class -- 5. The evolutionary problem6 Completeness criteria of the space of generalized eigenvectors of non-self-adjoint operators -- 7. Bases on Hilbert and Banach spaces -- 8. On a Riesz basis of finite-dimensional invariant subspaces -- 9. Analytic operators in Feki-Jeribi-Sfaxi's sense -- 10. On a Schauder and Riesz bases of eigenvectors of an analytic operator -- 11. On the asymptotic behavior of the eigenvalues of an analytic operator in the sense of Kato -- 12. On the basis property of root vectors related to a non-self-adjoint analytic operator -- 13. Perturbation method for sound radiation by a vibrating plate in a light fluid -- 14. Gribov operator in Bargmann space15 Applications in Mathematical Physics and Mechanics.

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.

ISBN: 9789811625282$q(electronic bk.)

Standard No.: 10.1007/978-981-16-2528-2doiSubjects--Topical Terms:

182365
Spectral theory (Mathematics)

LC Class. No.: QA329.2 / .J47 2021

Dewey Class. No.: 515.7246

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505 0 $a 1. Basic notations and results2 Analysis with operators3 Series of complex terms -- 4. Carleman-class -- 5. The evolutionary problem6 Completeness criteria of the space of generalized eigenvectors of non-self-adjoint operators -- 7. Bases on Hilbert and Banach spaces -- 8. On a Riesz basis of finite-dimensional invariant subspaces -- 9. Analytic operators in Feki-Jeribi-Sfaxi's sense -- 10. On a Schauder and Riesz bases of eigenvectors of an analytic operator -- 11. On the asymptotic behavior of the eigenvalues of an analytic operator in the sense of Kato -- 12. On the basis property of root vectors related to a non-self-adjoint analytic operator -- 13. Perturbation method for sound radiation by a vibrating plate in a light fluid -- 14. Gribov operator in Bargmann space15 Applications in Mathematical Physics and Mechanics.
520 $a 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.
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