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book: Denseness, Bases and Frames in Banach Spaces and Applications
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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

  • Publicly Available

    Frontmatter

    I
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    Preface

    VII
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    Contents

    IX
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    1. Introduction

    1
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    2. Linear operators

    19
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    3. Basic notations and results

    55
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    4. Bases

    85
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    5. Semi-groups

    133
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    6. Discrete operator and denseness of the generalized eigenvectors

    145
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    7. Frames in Hilbert spaces

    159
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    8. Summability of series

    191
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    9. ν-convergence operators

    201
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    10. Γ-hypercyclic set of linear operators

    231
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    11. Analytic operators in Béla Szökefalvi-Nagy’s sense

    241
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    12. Bases of the perturbed operator T(ε)

    257
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    13. Frame of the perturbed operator T(ε)

    275
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    14. Perturbation method for sound radiation by a vibrating plate in a light fluid

    289
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    15. Applications to mathematical models

    305
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    16. Reggeon field theory

    359
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    Bibliography

    393
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    Index

    403
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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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