Denseness, Bases and Frames in Banach Spaces and Applications /

Denseness, Bases and Frames in Banach Spaces and Applications / / Aref Jeribi.

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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
Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
VerfasserIn:
Jeribi, Aref,
Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
Online Access:
Physical Description:1 online resource (XV, 406 p.)
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Table of Contents:
  • 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

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