Nonlocally Convex Functional Analysis

In this chapter the goal is to explore the implications of our general metrization theory to aspects of functional analysis in nonlocally convex topological vector spaces. Some of the concrete topics studied here deal with the completeness and separability of such spaces, as well as with the issues of pointwise convergence and the Fatou property in the case of function spaces. Various other applications to analysis on Boolean algebras are also considered.