Let X be a compact convex set and let ext X stand for the set of extreme points of X. We show
that if f: X → R f: X→ R is an affine function with the point of continuity property such that f ≤ …

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 …

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 …

We deal with isomorphic Banach–Stone type theorems for closed subspaces of
vectorvalued continuous functions. Let F= RF= R or C C. For i= 1, 2 i= 1, 2, let E_i E i be a …

Let X be a compact convex set and let ext X stand for the set of extreme points of X. We show
that an affine function with the point of continuity property on X satisfies the minimum …

We study the dependence of the Banach-Mazur distance between two subspaces of vector-
valued continuous functions on the scattered structure of their boundaries. In the spirit of a …

Baire Bijections of Extreme Points Generated by Small-Bound Isomorphisms of Simplex Spaces
Page 1 Filomat 36:15 (2022), 5251–5262 https://doi.org/10.2298/FIL2215251R Published by …

The thesis consists of seven research papers. The first two papers study the properties of
fragmented convex functions, mainly the so-called maximum principle. The first paper deals …