p-adic Functional Analysis: 1st Edition (Paperback) book cover

p-adic Functional Analysis

1st Edition

By W.H. Schikhof, C. Perez-Garcia, Jerzy Kakol

CRC Press

416 pages

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Paperback: 9780824700386
pub: 1997-06-09
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Description

"Contains research articles by nearly 40 leading mathematicians from North and South America, Europe, Africa, and Asia, presented at the Fourth International Conference on p-adic Functional Analysis held recently in Nijmegen, The Netherlands. Includes numerous new open problems documented with extensive comments and references."

Table of Contents

Strict locally convex topologies on BC(X,K); zero-dimensional pseudocompact and ultraparacompact spaces; isometries in spaces of non-Archimedean continuous functions; isometrics between valued fields; closed homomorphisms of algebras of analytic elements; on some p-adic functional equations; complete ultrametic Hopf algebras which are free Banach spaces; p-adic characters on the restricted power series; on some p-adic series with factorials; non-Archimedean harmonic analysis on topological semigroups, II; analytic properties of functions represented by p-adic integration; characterial functions; nonlinear differential equations over the field of the complex p-adic numbers; on some non-Archimedean closed graph theorems; p-adic locally convex inductive limits; some conjectures concerning partial sums of generalized hypergeometric series; on non-Archimedean weighted spaces of continuous functions; an algebra of self-adjoint operators on a non-Archimedean orthomodular space. (Part contents).

About the Series

Lecture Notes in Pure and Applied Mathematics

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Subject Categories

BISAC Subject Codes/Headings:
MAT037000
MATHEMATICS / Functional Analysis