02954nam 2200493 450 991046733950332120200520144314.03-11-049240-73-11-049386-110.1515/9783110493863(CKB)4100000002964627(MiAaPQ)EBC5403253(DE-B1597)469567(OCoLC)1029835130(DE-B1597)9783110493863(PPN)225578158(Au-PeEL)EBL5403253(CaPaEBR)ebr11567257(EXLCZ)99410000000296462720180613d2018 uy 0engurcnu||||||||txtrdacontentcrdamediacrrdacarrierDenseness, bases and frames in banach spaces and applications /Aref JeribiBerlin ;Boston :De Gruyter,[2018]©20181 online resource (421 pages)3-11-048488-9 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 -- IndexThis 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 Banach spacesElectronic books.Banach spaces.515.732Jeribi Aref755592MiAaPQMiAaPQMiAaPQBOOK9910467339503321Denseness, bases and frames in banach spaces and applications2458451UNINA