This chapter presents a survey of notions and facts needed throughout the book. As was
already mentioned in the introduction, our key references are W. Rudin [403] and M. Fabian …

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 …

Absolute Fσδ spaces - ScienceDirect Skip to main contentSkip to article Elsevier logo Journals
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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 …

THE DIRICHLET PROBLEM FOR BAIRE-TWO FUNCTIONS ON SIMPLICES Page 1 Bull. Aust.
Math. Soc. 79 (2009), 285–297 doi:10.1017/S0004972708001263 THE DIRICHLET …

Let X be an L 1-predual, non-separable in general. We show that the intrinsic Baire classes
of X can be identified with the spaces of odd Baire functions on the set ext BX* of the …

We construct metrizable simplices $ X_1 $ and $ X_2 $ and a homeomorphism
$\varphi:\overline {ext X_1}\to\overline {ext X_2} $ such that $\varphi (ext X_1)= ext X_2 …

Distances to spaces of affine Baire one functions Page 1 Jirı Spurný Distances to spaces of
affine Baire one functions Preprint No. MATH-KMA-2009/318 December 2009 Submitted …

Let X be a compact convex set, ext X stand for the set of extreme points of X, F be a Fréchet
space and f: X→ F be a strongly affine mapping. The aim of our paper is to investigate …

This thesis consists of five research papers. The first paper: We prove that under certain
conditions, the existence of an isomorphism between spaces of continuous affine functions …