Nonarchimedean Functional Analysis

Nonarchimedean Functional Analysis by Peter Schneider offers a rigorous and self-contained introduction to the theory of topological vector spaces over nonarchimedean fields, such as the field of p-adic numbers. Unlike classical functional analysis, this book adapts key concepts—like locally convex spaces, duality, compactoid sets, tensor products, and nuclearity—to the ultrametric setting.