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

• 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
• Physical Description: 1 online resource (XV, 406 p.)
• Other title: 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
• Format: Mode of access: Internet via World Wide Web.
• ISBN: 9783110493863; 9783110719550; 9783110604252; 9783110603255; 9783110604191; 9783110603194
• DOI: 10.1515/9783110493863
• Access: restricted access
• Hierarchical level: Monograph
• Statement of Responsibility: Aref Jeribi.

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. ContentsIntroductionLinear operatorsBasic notations and resultsBasesSemi-groupsDiscrete operator and denseness of the generalized eigenvectorsFrames in Hilbert spacesSummability of seriesν-convergence operatorsΓ-hypercyclic set of linear operatorsAnalytic operators in Béla Szökefalvi-Nagy’s senseBases 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