Ultrametric Functional Analysis.

Intro -- Contents -- Preface -- Vector measures and integral operators in the non-Archimedean setting -- On the dual space for the strict topology β1 and the space M(X) in function space -- Perturbation of a p-adic dynamical system in two variables -- Isomorphisms with small bound between spaces of p-adic continuous functions II -- Ultrametric q-calculus -- Strictness and closedness in p-adic inductive limits -- A note on Browkin-Brzeziński conjecture -- Non-Archimedean integration and strict topologies -- Non-Archimedean orthomodular spaces and their residual spaces -- Polylogarithms and a zeta function for finite places of a function field -- On finite-dimensional normed spaces over Cp -- A non-Archimedean inner product -- Lipschitz operators on Banach spaces over Krull valued fields -- Remarks on some theorems of functional analysis -- Frobenius structure for rank one p-adic differential equations -- The ultrametric spectrum as an ordered set -- Analytic roots of rational functions whose poles are on the unit circle -- p-adic Choquet Theory -- The spherical completion of normed vector spaces over fields with valuations of arbitrary rank -- On Köthe quotients of non-Archimedean Fréchet spaces -- Unique range sets for non-Archimedean entire functions in positive characteristic fields -- Some continuous linear operators and orthogonal q-bases on the space of p-adic continuous functions defined on Zp -- Uniqueness polynomials, unique range sets and other uniqueness theorems.

Description based on publisher supplied metadata and other sources.

Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.