This paper is a direct continuation of the article "Proximal analysis and boundaries of closed sets in Banach space, Part I: Theory", by the same authors. It is devoted to a detailed analysis of applications of the theory presented in the first part and of its limitations
The thesis consists of four research papers. The first three deal with the Choquet theory of functio...
For the related problems of complete sets in Banach spaces,some fundamental properties of sets of co...
We show that a separable proximinal subspace of\ud X\ud , say\ud Y\ud is\ud strongly proximinal (str...
As various types of tangent cones, generalized derivatives and subgradients prove to be a useful too...
The main aim of this survey is to present some classical as well asrecent characterizations involvin...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
AbstractThe relations among a set, its complement, and its boundary are examined constructively. A c...
Let X be a real Banach space. A subset B of the dual unit sphere of X is said to be a boundary for X...
In this paper, we show that a closed convex subset C of a Banach space is strongly proximinal (proxi...
AbstractLet us say that a subspace M of a Banach space X is absolutely proximinal if it is proximina...
Some connections between the concepts of boundary and of norming set of a Banach space and the linea...
Let \(X\) be a~Banach space and \(\mathcal{S} \mathit{eq}(X^{**})\) (resp., \(X_{\aleph_0}\)) the su...
This text provides the reader with the necessary technical tools and background to reach the frontie...
ABSTRACT. Let X be a real Banach space and (,) be a finite measure space and be a strictly i1creasin...
Abstract. We give a necessary and sufficient condition for proximinality of a closed subspace of fin...
The thesis consists of four research papers. The first three deal with the Choquet theory of functio...
For the related problems of complete sets in Banach spaces,some fundamental properties of sets of co...
We show that a separable proximinal subspace of\ud X\ud , say\ud Y\ud is\ud strongly proximinal (str...
As various types of tangent cones, generalized derivatives and subgradients prove to be a useful too...
The main aim of this survey is to present some classical as well asrecent characterizations involvin...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
AbstractThe relations among a set, its complement, and its boundary are examined constructively. A c...
Let X be a real Banach space. A subset B of the dual unit sphere of X is said to be a boundary for X...
In this paper, we show that a closed convex subset C of a Banach space is strongly proximinal (proxi...
AbstractLet us say that a subspace M of a Banach space X is absolutely proximinal if it is proximina...
Some connections between the concepts of boundary and of norming set of a Banach space and the linea...
Let \(X\) be a~Banach space and \(\mathcal{S} \mathit{eq}(X^{**})\) (resp., \(X_{\aleph_0}\)) the su...
This text provides the reader with the necessary technical tools and background to reach the frontie...
ABSTRACT. Let X be a real Banach space and (,) be a finite measure space and be a strictly i1creasin...
Abstract. We give a necessary and sufficient condition for proximinality of a closed subspace of fin...
The thesis consists of four research papers. The first three deal with the Choquet theory of functio...
For the related problems of complete sets in Banach spaces,some fundamental properties of sets of co...
We show that a separable proximinal subspace of\ud X\ud , say\ud Y\ud is\ud strongly proximinal (str...