In this work, we study properties of compact integral operators in Banach function spaces. At first, there are introduced Banach function spaces and their basic characte- ristics. Then the work deals with some properties of weakly sequentially compact sets in Banach function spaces. The main aim of the work is to characterise compact ope- rators with Lρ-kernel, which is a specific kind of the integral kernel. To this end, there are applied properties of the sets with uniformly absolutely continuous norm. Finally, the work describes some specific characteristics of the space L1 ([0, 1]) and proves that the Volterra operator in this space is compact.
Abstract. A famous dominated compactness theorem due to Krasnosel’skĭı states that compactness of a...
We prove that the class of Banach function lattices in which all relatively weakly compact sets are ...
The aim of this session is to cover the basic theory of compact linear operators on Banach spaces. T...
Compactness type properties for operators acting in Banach function spaces are not always preserved ...
In this paper, we introduce the notion of (uniformly weakly) Banach-compact sets, (uniformly weakly)...
In this paper, we introduce the notion of (uniformly weakly) Banach-compact sets, (uniformly weakly)...
This note presents several observations on Banach spaces X such that, for fixed $1 ≤ p ≤ ∈fty$, eve...
Although various operators in the space of functions of bounded variation have been studied b...
The present study provides the necessary and sufficient conditions for the matrix characterizations ...
AbstractLet X be a Banach space. Then there is a locally convex topology for X, the “Right topology,...
We present some compactness properties of L-weakly and M-weakly compact operators on a Banach lattic...
summary:We establish some properties of the class of order weakly compact operators on Banach lattic...
summary:We introduce the notion of order weakly sequentially continuous lattice operations of a Bana...
AbstractThis paper develops practical methods for deciding whether a given kernel function induces a...
The aim of this session is to cover the basic theory of compact linear operators on Banach spaces. T...
Abstract. A famous dominated compactness theorem due to Krasnosel’skĭı states that compactness of a...
We prove that the class of Banach function lattices in which all relatively weakly compact sets are ...
The aim of this session is to cover the basic theory of compact linear operators on Banach spaces. T...
Compactness type properties for operators acting in Banach function spaces are not always preserved ...
In this paper, we introduce the notion of (uniformly weakly) Banach-compact sets, (uniformly weakly)...
In this paper, we introduce the notion of (uniformly weakly) Banach-compact sets, (uniformly weakly)...
This note presents several observations on Banach spaces X such that, for fixed $1 ≤ p ≤ ∈fty$, eve...
Although various operators in the space of functions of bounded variation have been studied b...
The present study provides the necessary and sufficient conditions for the matrix characterizations ...
AbstractLet X be a Banach space. Then there is a locally convex topology for X, the “Right topology,...
We present some compactness properties of L-weakly and M-weakly compact operators on a Banach lattic...
summary:We establish some properties of the class of order weakly compact operators on Banach lattic...
summary:We introduce the notion of order weakly sequentially continuous lattice operations of a Bana...
AbstractThis paper develops practical methods for deciding whether a given kernel function induces a...
The aim of this session is to cover the basic theory of compact linear operators on Banach spaces. T...
Abstract. A famous dominated compactness theorem due to Krasnosel’skĭı states that compactness of a...
We prove that the class of Banach function lattices in which all relatively weakly compact sets are ...
The aim of this session is to cover the basic theory of compact linear operators on Banach spaces. T...