02507nam 2200613 450 991046464010332120210423014620.03-11-025899-43-11-039199-610.1515/9783110258998(MiAaPQ)EBC1130389(DE-B1597)124125(OCoLC)920798828(OCoLC)921228112(DE-B1597)9783110258998(Au-PeEL)EBL1130389(CaPaEBR)ebr11006472(CaONFJC)MIL809301(OCoLC)898769617(EXLCZ)99336000000051486720140513h20142014 uy| 0engtxtrdacontentnrdamediancrdacarrierSmooth analysis in Banach spaces /by Petr Hájek, Michal JohanisBerlin ;Boston :Walter de Gruyter GmbH & Company, KG,[2014]©2014XVI, 497 p. ;25 cmDe Gruyter series in nonlinear analysis and applications,0941-813X ;19MSC 46Bxx ; 46E15 ; 15A033-11-025898-6 Includes bibliographical references and index.Front matter --Contents --Introduction --Chapter 1. Fundamental properties of smoothness --Chapter 2. Basic properties of polynomials on Rn --Chapter 3. Weak continuity of polynomials and estimates of coefficients --Chapter 4. Asymptotic properties of polynomials --Chapter 5. Smoothness and structure --Chapter 6. Structural behaviour of smooth mappings --Chapter 7. Smooth approximation --Bibliography --Notation --IndexThe purpose of this book is to lay down the foundations for the abstract theory of Ck-smoothness in infinite-dimensional real Banach spaces, and investigate its intimate connections with the structural properties of the underlying spaces.De Gruyter series in nonlinear analysis and applications ;19.Banach spacesNormed linear spacesPolynomialsElectronic books.Banach spaces.Normed linear spaces.Polynomials.515/.732SK 600rvkHájek Petr48949Johanis MichalMiAaPQMiAaPQMiAaPQBOOK9910464640103321Smooth analysis in Banach spaces2442783UNINA