LEADER 05465nam 2200673Ia 450 001 9910825358003321 005 20240313222414.0 010 $a1-281-96821-8 010 $a9786611968212 010 $a981-281-845-6 035 $a(CKB)1000000000556023 035 $a(EBL)1193499 035 $a(SSID)ssj0000287999 035 $a(PQKBManifestationID)12068703 035 $a(PQKBTitleCode)TC0000287999 035 $a(PQKBWorkID)10391094 035 $a(PQKB)10776038 035 $a(WSP)00006879 035 $a(Au-PeEL)EBL1193499 035 $a(CaPaEBR)ebr10688007 035 $a(CaONFJC)MIL196821 035 $a(OCoLC)858228870 035 $a(MiAaPQ)EBC1193499 035 $a(EXLCZ)991000000000556023 100 $a20090305d2008 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aAdvanced courses of mathematical analysis III $eproceedings of the third International School, La Rabida, Spain, 3-7 September 2007 /$feditors, Juan M. Delgado Sanchez, Tomas Dominguez Benavides 205 $a1st ed. 210 $aHackensack, NJ $cWorld Scientific$dc2008 215 $a1 online resource (209 p.) 300 $aDescription based upon print version of record. 311 $a981-281-844-8 320 $aIncludes bibliographical references. 327 $aORGANIZING COMMITTEES; PREFACE; CONTENTS; An introduction to discrete holomorphic local dynamics in one complex variable M. Abate; 1. Introduction; 2. Hyperbolic dynamics; 3. Superattracting dynamics; 4. Parabolic dynamics; 5. Elliptic dynamics; References; Notes in transference of bilinear multipliers O. Blasco; 1. Notation and preliminaries; 2. Methods and applications; References; Generating functions of Lebesgue spaces by translations J. Bruna; 1. Discrete translates, generating functions; 2. Connections with density of exponentials 327 $a3. The problem in L1(R) and its connections with the spectral radious problem4. Relation with quasianalytic classes; 5. The spectral sets for L1(R); 6. The generators for L1(R); 7. The restricted problem; References; A new look at compactness via distances to function spaces C. Angosto and B. Cascales; 1. Introduction; 2. Distance to spaces of continuous functions; 3. Distances to spaces of continuous functions on compact spaces; 4. Distance to Banach spaces; 5. Distances to continuous functions on countably K-determined spaces; 6. Baire one functions; 7. Further studies; References 327 $aSpaces of smooth functions E. Harboure1. Fractional integration; 2. Functions with controlled mean oscillation; 3. Smooth function spaces and wavelets; References; Domination by positive operators and strict singularity F. L. Hern andez; 1. Strictly singular operators; 2. Strictly singular inclusions; 3. Domination by strictly singular operators; 4. Powers of dominated operators; References; 1. Introduction; 2. The origin of the Hahn{Banach Theorem; 3. Helly; 4. The \Landmark"": Helly's 1921 article; 5. Helly's technique; 6. The complex case; 7. Intersection properties; References 327 $aThe Hahn-Banach Theorem and the sad life of E. Helly L. Narici and E. BecknsteinThe Banach space Lp E. Odell; References; Problems on hypercyclic operators H. N. Salas; 1. Continuous functions with dense orbits; 2. Some properties of hypercyclic operators; 3. Ansari's theorem; 4. Variations on a theme of L eon{Saavedra and M uller; 5. Dual hypercyclic operators; Operator spaces: Basic theory and applications B. M. Schreiber; 1. Operator spaces and completely bounded maps; 2. The fundamental theorem and some consequences; 3. Tensor products of operator spaces 327 $a4. Applications to operator algebra theory4.1. An application of the operator{space projective tensor product; 4.2. An application to nonselfadjoint operator algebras; 5. Applications to harmonic analysis; 5.1. An application to Fourier algebras; 5.2. An application of the Haagerup tensor product; 6. Applications to Probability Theory; References; Mathematics and markets: Existence and efficiency of competitive equilibrium A. Villar; 1. Introduction; 2. Social equilibrium; 3. From social equilibrium to competitive equilibrium; 4. Equilibrium and effciency; 5. Final comments; References 327 $aIdeals in F-Algebras W. _Zelazko 330 $aThis volume comprises a collection of articles by leading researchers in mathematical analysis. It provides the reader with an extensive overview of the present-day research in different areas of mathematical analysis (complex variable, harmonic analysis, real analysis and functional analysis) that holds great promise for current and future developments. These review articles are highly useful for those who want to learn about these topics, as many results scattered in the literature are reflected through the many separate papers featured herein. 606 $aMathematical analysis$vCongresses 606 $aFunctions 615 0$aMathematical analysis 615 0$aFunctions. 676 $a515 701 $aDelgado Sanchez$b Juan M$01625685 701 $aDominguez Benavides$b T$g(Tomas),$f1951-$0351018 712 12$aInternational Course of Mathematical Analysis in Andalucia 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910825358003321 996 $aAdvanced courses of mathematical analysis III$93961322 997 $aUNINA