LEADER 02920nam 2200481 450 001 9910796784303321 005 20200520144314.0 010 $a3-11-049240-7 010 $a3-11-049386-1 024 7 $a10.1515/9783110493863 035 $a(CKB)4100000002964627 035 $a(MiAaPQ)EBC5403253 035 $a(DE-B1597)469567 035 $a(OCoLC)1029835130 035 $a(DE-B1597)9783110493863 035 $a(Au-PeEL)EBL5403253 035 $a(CaPaEBR)ebr11567257 035 $a(PPN)225578158 035 $a(EXLCZ)994100000002964627 100 $a20180613d2018 uy 0 101 0 $aeng 135 $aurcnu|||||||| 181 $ctxt$2rdacontent 182 $cc$2rdamedia 183 $acr$2rdacarrier 200 10$aDenseness, bases and frames in banach spaces and applications /$fAref Jeribi 210 1$aBerlin ;$aBoston :$cDe Gruyter,$d[2018] 210 4$d©2018 215 $a1 online resource (421 pages) 311 $a3-11-048488-9 327 $tFrontmatter -- $tPreface -- $tContents -- $t1. Introduction -- $t2. Linear operators -- $t3. Basic notations and results -- $t4. Bases -- $t5. Semi-groups -- $t6. Discrete operator and denseness of the generalized eigenvectors -- $t7. Frames in Hilbert spaces -- $t8. Summability of series -- $t9. ?-convergence operators -- $t10. ?-hypercyclic set of linear operators -- $t11. Analytic operators in Béla Szökefalvi-Nagy's sense -- $t12. Bases of the perturbed operator T(?) -- $t13. Frame of the perturbed operator T(?) -- $t14. Perturbation method for sound radiation by a vibrating plate in a light fluid -- $t15. Applications to mathematical models -- $t16. Reggeon field theory -- $tBibliography -- $tIndex 330 $aThis 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 series?-convergence operators?-hypercyclic set of linear operatorsAnalytic operators in Béla Szökefalvi-Nagy's senseBases of the perturbed operator T(?) Frame of the perturbed operator T(?) Perturbation method for sound radiation by a vibrating plate in a light fluid Applications to mathematical models Reggeon field theory 606 $aBanach spaces 615 0$aBanach spaces. 676 $a515.732 700 $aJeribi$b Aref$0755592 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910796784303321 996 $aDenseness, bases and frames in banach spaces and applications$93845911 997 $aUNINA