p-adic Functional Analysis [Paperback]

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. 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).