It is no exaggeration to say that the theory of separably injective spaces is quite different
from that of injective spaces. In this chapter we will explain why. Indeed, we will enter now in …

Abstract Properties of categories enriched over the category of metric spaces are
investigated and applied to a study of well-known constructions of metric and Banach …

We study the dynamics of the group of isometries of L p-spaces. In particular, we study the
canonical actions of these groups on the space of δ-isometric embeddings of finite …

We provide a unified approach to Fraïssé limits in functional analysis, including the Gurarij
space, the Poulsen simplex, and their noncommutative analogs. We obtain in this general …

Abstract The Kurotowskii and Hausdorff measures of noncompactness in p-normed spaces
are studied, where 0< p ≤ 1 0< p≤ 1. By metric retraction and calculation of measures of …

We study the complexities of isometry and isomorphism classes of separable Banach
spaces in the Polish spaces of Banach spaces, recently introduced and investigated by the …

The article is a survey related to a classical unsolved problem in Banach space theory,
appearing in Banach's famous book in 1932, and known as the Mazur rotations problem …

We construct a nonexpansive linear operator on the Gurariĭ space that" captures" all
nonexpansive linear operators between separable Banach spaces. Some additional …

We present a simple and natural infinite game building an increasing chain of finite-
dimensional Banach spaces. We show that one of the players has a strategy with the …

We present and thoroughly study natural Polish spaces of separable Banach spaces. These
spaces are defined as spaces of norms, respectively pseudonorms, on the countable infinite …