Advanced courses of mathematical analysis III : proceedings of the third international school, La Rabida, Spain, 3-7 September 2007 / editors, Juan M. Delgado Sanchez, Tomas Dominguez Benavides

An introduction to discrete holomorphic local dynamics in one complex variable / M. Abate -- Notes in transference of bilinear multipliers / O. Blasco -- Generating functions of Lebesgue spaces by translations / J. Bruna -- A new look at compactness via distances to function spaces / C. Angosto and B. Cascales -- Spaces of smooth functions / E. Harboure -- Domination by positive operators and strict singularity / F.L. Hernandez -- The Hahn-Banach theorem and the sad life of E. Helly / L. Narici and E. Becknstein -- The Banach space L[symbol] / E. Odell -- Problems on hypercyclic operators / H.N. Salas -- Operator spaces: basic theory and applications / B.M. Schreiber -- Mathematics and markets: existence and efficiency of competitive equilibrium / A. Villar -- Ideals in F-algebras / W. Zelazko

Summary

This 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