This book gives a concise exposition of the fundamentals of the theory of topological vector
spaces, complemented by a survey of the most important results of a more subtle nature …

We study the class of Banach spaces X such that the locally convex space (X, μ (X, Y)) is
complete for every norming and norm-closed subspace Y⊂ X⁎, where μ (X, Y) denotes the …

Let X be a Banach space and Γ⊆ X∗ a total linear subspace. We study the concept of Γ-
integrability for X-valued functions f defined on a complete probability space, ie an analogue …

Let $(\Omega,\Sigma,\mu) $ be a finite measure space, let $ Z $ be a Banach space, and let
$\nu:\Sigma\to Z^* $ be a countably additive $\mu $-continuous vector measure. Let …

A Banach space X is said to be universally Mackey complete if (X, µ (X, Y)) is complete for
every norming and norm-closed subspace YCX∗, where µ (X, Y) is the Mackey topology on …

This is a survey around a property (Property 乡) introduced by M. Fabian, V. Zizler, and the
third named author, in terms of differentiability of the norm. Precisely, a Banach space X is …

This is a survey around a property (Property P) introduced by M. Fabian, V. Zizler, and the
third named author, in terms of differentiability of the norm. Precisely, a Banach space X is …