p-adic Function Analysis [Hardcover]

Written by accomplished and well-known researchers in the field, this unique volume discusses important research topics on p-adic functional analysis and closely related areas, provides an authoritative overview of the main investigative fronts where developments are expected in the future, and more. Discusses research topics on p-adic functional analysis and closely related areas. This title provides an overview of the main investigative fronts where developments are expected in the future.Preface -- Contributors -- Distance from an isometry to the Banach-Stone maps /by Jesus Araujo -- Pseudocompact and P-spaces in non-archimedean functional analysis /by Jesus Araujo, P. Fernandez-Ferreiros and J. Mart{nez-Maurica -- Extension of isometries with values in nonarchimedean fields /by Jose M. Bayod -- Weak c'-compactness in (strongly) polar Banach spaces over a nonarchimedean, densely valued field /by Sabine Borrey -- C(E, F) as a dual space /by N. De Grande-De Kimpe -- Non integrally closed algebras H(D) /by A. Escassut and Bertin Diarra -- Continuous operators which commute with translations, on the space of continuous functions on ZP /by Lucien van Hamme -- Dyadic frames for intermittency. Perturbed models /by O. lord.ache -- Non-archimedean A-nuclear spaces /by A.K. Katsaras -- The locally K-convex spaces cn (X), C00 (X) /by Samuel Navarro -- The Hahn-Banach extension property in p-adic analysis /by C. Perez-Garcia -- Banach algebra of p-adic valued almost periodic functions /by G. Rangan and M.S. Saleemullah -- The axiom of choice in p-adic functional analysis /by A.C.M. van Rooij -- The equation y' = wy and the meromorphic products /by Marie-Claude Sarmant and Alain Escassut -- The p-adic Krein-Smulian theorem /by W.H. Schikhof -- Topological fields and nonarchimedean analysis, /by Nie.I Shell -- Open problems, /by A.C.M. van Rooij and W.H. Schikhof -- APPENDIX A: T he space i1 (K) is not ultrametrizable, /by Jose M. Bayod -- APPENDIX B: Zero sequences in p-adiclãÈ