P-Adic Function Analysis

ISBN-13: 9781138441811 / Angielski / Twarda / 2017

Bayod

Opis

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.

Spis treści

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-adic compactoids, /by W.H. Schikhof.

O autorze

JOSE M. BAIOD is Professor of mathematical Analysis at the Universidad de Cambria. Santander. Spain. The author of several research papers and coauthor done book, his research interests are in p-adic analysis and nonstandard analysis. Dr. Bayod received the Ph.D. degree (1976) in mathematics from the Universidad de Bilbao, Spain. N. DE GRANDE.DE KNEE is Professor of Mathematics and History of Mathematics at the Vrije Universiteit Brussel, Brussels. Belgium. She is the author of several publications in the field of non-archimedean Bartsch spaces, locally comes spaces, and operator ideals. Dr. Dc Grande-De Kimpe received the Ph.D. degree (1970) in mathematics from the University of Utrecht. Utreclu, The Netherlands. J. MARTFNEZ-MAURICA is Professor of Mathematical Analysis at the Universidad de Cambria, Santander. Spain. The author of several research papers, he is a member of the Scientific Com-mittee of the Conference on p-adic Functional Analysis to be held in 1992. Dr. Martine :Maurice received the Ph.D. degree (1977) in mathematics from the Universidad de Bilbao. Spain.