We construct a compact Hausdorff space KK such that the space P (K) P(K) of Radon
probability measures on KK considered with the weak∗ weak^* topology (induced from the …

We develop a theory of abstract intermediate function spaces on a compact convex set $ X $
and study the behaviour of multipliers and centers of these spaces. In particular, we provide …

If $ E $ is a Banach space, any element $ x^{**} $ in its bidual $ E^{**} $ is an affine function
on the dual unit ball $ B_ {E^*} $ that might possess variety of descriptive properties with …

Mathematicians have imagined a myriad of objects, most of them infinite, and inevitably
followed by an infinite suite. What does it mean to understand them? How does a …

Abstract Let $ X $ and $ Y $ be compact convex sets such that their each extreme point is a
weak peak point. We show that $\operatorname {ext} X $ is homeomorphic to …

We investigate Baire classes of strongly affine mappings with values in Fr\'echet spaces. We
show, in particular, that the validity of the vector-valued Mokobodzki's result on affine …

Let X be a compact convex set with the set ext X of extreme points being Lindelöf and f: ext
X→ F be a bounded Baire mapping with values in a Fréchet space F. We present a …

The interplay between topological hyperconvex spaces and sigma-finite measures in such
spaces gives rise to a set of analytical observations. This paper introduces the Noetherian …

Abstract For i= 1, 2 i= 1, 2, let E_i E i be a reflexive Banach lattice over RR with a certain
parameter λ^+(E_i)> 1 λ+(E i)> 1, let K_i K i be a locally compact (Hausdorff) topological …

Abstract Let F= R or C. For i= 1, 2, let Ki be a locally compact (Hausdorff) topological space
and let Hi be a closed subspace of C0 (Ki, F) such that each point of the Choquet boundary …