Denseness, Bases and Frames in Banach Spaces and Applications

Aref Jeribi

Book

Denseness, Bases and Frames in Banach Spaces and Applications

Aref Jeribi

Language: English

Published/Copyright: 2018

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About this book

This book is devoted to recent developments concerning linear operators, covering topics such as the Cauchy problem, Riesz basis, frames, spectral theory and applications to the Gribov operator in Bargmann space.

Also, integral and integro-differential equations as well as applications to problems in mathematical physics and mechanics are discussed.

Contents
Introduction
Linear operators
Basic notations and results
Bases
Semi-groups
Discrete operator and denseness of the generalized eigenvectors
Frames in Hilbert spaces
Summability of series
ν-convergence operators
Γ-hypercyclic set of linear operators
Analytic operators in Béla Szökefalvi-Nagy’s sense
Bases of the perturbed operator T(ε)
Frame of the perturbed operator T(ε)
Perturbation method for sound radiation by a vibrating plate in a light fluid
Applications to mathematical models
Reggeon field theory

Author / Editor information

Aref Jeribi, University of Sfax, Tunisia.

Topics

Frontmatter Publicly Available Download PDF	I
Preface Requires Authentication Unlicensed Licensed	VII
Contents Publicly Available Download PDF	IX
1. Introduction Requires Authentication Unlicensed Licensed	1
2. Linear operators Requires Authentication Unlicensed Licensed	19
3. Basic notations and results Requires Authentication Unlicensed Licensed	55
4. Bases Requires Authentication Unlicensed Licensed	85
5. Semi-groups Requires Authentication Unlicensed Licensed	133
6. Discrete operator and denseness of the generalized eigenvectors Requires Authentication Unlicensed Licensed	145
7. Frames in Hilbert spaces Requires Authentication Unlicensed Licensed	159
8. Summability of series Requires Authentication Unlicensed Licensed	191
9. ν-convergence operators Requires Authentication Unlicensed Licensed	201
10. Γ-hypercyclic set of linear operators Requires Authentication Unlicensed Licensed	231
11. Analytic operators in Béla Szökefalvi-Nagy’s sense Requires Authentication Unlicensed Licensed	241
12. Bases of the perturbed operator T(ε) Requires Authentication Unlicensed Licensed	257
13. Frame of the perturbed operator T(ε) Requires Authentication Unlicensed Licensed	275
14. Perturbation method for sound radiation by a vibrating plate in a light fluid Requires Authentication Unlicensed Licensed	289
15. Applications to mathematical models Requires Authentication Unlicensed Licensed	305
16. Reggeon field theory Requires Authentication Unlicensed Licensed	359
Bibliography Requires Authentication Unlicensed Licensed	393
Index Requires Authentication Unlicensed Licensed	403

Publishing information

Pages and Images/Illustrations in book

eBook published on:

March 19, 2018

eBook ISBN:

9783110493863

Hardcover published on:

March 19, 2018

Hardcover ISBN:

9783110484885

Pages and Images/Illustrations in book

Front matter:

15

Main content:

406

Illustrations:

12

https://doi.org/10.1515/9783110493863

eBook ISBN: 9783110493863

Hardcover ISBN: 9783110484885

Keywords for this book

Banach-Raum; Linearer Operator; Spektraltheorie

Audience(s) for this book

Researchers in Mathematics and Mathematical Physics.

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Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Denseness, Bases and Frames in Banach Spaces and Applications

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About this book

Author / Editor information

Topics

Table of contents

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