"Descriptive Topology in Selected Topics of Functional Analysis" is a collection of recent developments in the field of descriptive topology, specifically focused on the classes of infinite-dimensional topological vector spaces that appear in functional analysis. Such spaces include Fréchet spaces, (LF)-spaces and their duals, and the space of continuous real-valued functions C(X) on a completely regular Hausdorff space X, to name a few. These vector spaces appear in functional analysis in distribution theory, differential equations, complex analysis, and various other analytical settings.
This monograph provides new insights into the connections between the topological properties of linear function spaces and their applications in functional analysis.
Presents numerous results that have previously only appeared in journal publications
Includes several newly developed and unpublished results
Can serve a supplementary text in course focusing on selected topics in functional analysis, set topology, or the theory or functional spaces
This is the first monograph to approach the topic of linear functional equations from the perspective of descriptive topology