Denseness, Bases and Frames in Banach Spaces and Applications / / 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 i...

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Superior document:Title is part of eBook package: De Gruyter DG Plus eBook-Package 2018
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Place / Publishing House:Berlin ;, Boston : : De Gruyter, , [2018]
©2018
Year of Publication:2018
Language:English
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Physical Description:1 online resource (XV, 406 p.)
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245 1 0 |a Denseness, Bases and Frames in Banach Spaces and Applications /  |c Aref Jeribi. 
264 1 |a Berlin ;  |a Boston :   |b De Gruyter,   |c [2018] 
264 4 |c ©2018 
300 |a 1 online resource (XV, 406 p.) 
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505 0 0 |t Frontmatter --   |t Preface --   |t Contents --   |t 1. Introduction --   |t 2. Linear operators --   |t 3. Basic notations and results --   |t 4. Bases --   |t 5. Semi-groups --   |t 6. Discrete operator and denseness of the generalized eigenvectors --   |t 7. Frames in Hilbert spaces --   |t 8. Summability of series --   |t 9. ν-convergence operators --   |t 10. Γ-hypercyclic set of linear operators --   |t 11. Analytic operators in Béla Szökefalvi-Nagy’s sense --   |t 12. Bases of the perturbed operator T(ε) --   |t 13. Frame of the perturbed operator T(ε) --   |t 14. Perturbation method for sound radiation by a vibrating plate in a light fluid --   |t 15. Applications to mathematical models --   |t 16. Reggeon field theory --   |t Bibliography --   |t Index 
506 0 |a restricted access  |u http://purl.org/coar/access_right/c_16ec  |f online access with authorization  |2 star 
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. 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 
538 |a Mode of access: Internet via World Wide Web. 
546 |a In English. 
588 0 |a Description based on online resource; title from PDF title page (publisher's Web site, viewed 30. Aug 2021) 
650 0 |a Banach spaces. 
650 0 |a Electronic books. 
650 4 |a Banach-Raum. 
650 4 |a Linearer Operator. 
650 4 |a Spektraltheorie. 
650 7 |a MATHEMATICS / Mathematical Analysis.  |2 bisacsh 
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