Denseness, bases and frames in Banach spaces and applications

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 i...

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Bibliographic Details
Main Author: Jeribi, Aref
Format: eBook
Language:English
Published: Berlin ; Boston De Gruyter 2018
Subjects:
Online Access:
Collection: DeGruyter MPG Collection - Collection details see MPG.ReNa
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020 |a 978-3-11-048488-5 
100 1 |a Jeribi, Aref 
245 0 0 |a Denseness, bases and frames in Banach spaces and applications  |h Elektronische Ressource  |c Aref Jeribi 
260 |a Berlin ; Boston  |b De Gruyter  |c 2018 
300 |a XV, 406 Seiten 
505 0 |a Frontmatter -- Preface -- Contents -- 1. Introduction -- 2. Linear operators -- 3. Basic notations and results -- 4. Bases -- 5. Semi-groups -- 6. Discrete operator and denseness of the generalized eigenvectors -- 7. Frames in Hilbert spaces -- 8. Summability of series -- 9. ν-convergence operators -- 10. Γ-hypercyclic set of linear operators -- 11. Analytic operators in Béla Szökefalvi-Nagy's sense -- 12. Bases of the perturbed operator T(ε) -- 13. Frame of the perturbed operator T(ε) -- 14. Perturbation method for sound radiation by a vibrating plate in a light fluid -- 15. Applications to mathematical models -- 16. Reggeon field theory -- Bibliography -- Index 
653 |a Physics / Theoretical and Mathematical Physics 
653 |a Linearer Operator 
653 |a Spektraltheorie 
653 |a Mathematics / Analysis 
653 |a Mathematik / Analysis 
653 |a Physik / Theoretische und mathematische Physik 
653 |a Banach-Raum 
041 0 7 |a eng  |2 ISO 639-2 
989 |b GRUYMPG  |a DeGruyter MPG Collection 
028 5 0 |a 10.1515/9783110493863 
776 |z 978-3-11-049240-8 
776 |z 978-3-11-049386-3 
856 4 0 |u https://www.degruyter.com/doi/book/10.1515/9783110493863  |x Verlag  |3 Volltext 
082 0 |a 510 
520 |a 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.