AbstractIn this note we prove extensions of the theorems mentioned in the title. In the existing versions of these theorems it is assumed that the Banach lattice is Dedekind complete and that the operator which occurs is an (abstract) kernel operator. We show that the theorems hold in arbitrary Banach lattices for operators which are only assumed to be σ-order continuous. Only for some details the Banach lattice is assumed to be Dedekind σ-complete
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
In this paper, we introduce and study the class of almost (L) limited operators, these are operators...
summary:We establish some sufficient conditions under which the subspaces of Dunford-Pettis operator...
AbstractR. DeMarr (unpublished) has begun a study of Banach algebras as sub-algebras of partially or...
Abstract. We present an up-to-date account of the state of knowl-edge of the order structure of the ...
AbstractIn the following let E and F be arbitrary Banach lattices and assume that F is Dedekind comp...
AbstractWe prove an extension of Ando-Krieger's theorem for positive, irreducible, order continuous ...
AbstractThis paper studies the Banach lattice structure of some spaces of continuous functions takin...
In this chapter we consider the completeness problem for a more general class of bounded linear oper...
from [13]. After presenting some preliminary material (not all of which is later used in this articl...
In the papers [2] and [4] it is proved, among other things, that every infinite dimensional $\sigma$...
AbstractIn this paper a simple proof for the following theorem, due to Luxemburg and Zaanen is given...
Abstract. In the operator version of the Hahn-Banach-Kantorovich the-orem, the range space Y is assu...
Abstract. Let E and F be vector lattices and Lr(E, F) the ordered space of all regular operators, wh...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
In this paper, we introduce and study the class of almost (L) limited operators, these are operators...
summary:We establish some sufficient conditions under which the subspaces of Dunford-Pettis operator...
AbstractR. DeMarr (unpublished) has begun a study of Banach algebras as sub-algebras of partially or...
Abstract. We present an up-to-date account of the state of knowl-edge of the order structure of the ...
AbstractIn the following let E and F be arbitrary Banach lattices and assume that F is Dedekind comp...
AbstractWe prove an extension of Ando-Krieger's theorem for positive, irreducible, order continuous ...
AbstractThis paper studies the Banach lattice structure of some spaces of continuous functions takin...
In this chapter we consider the completeness problem for a more general class of bounded linear oper...
from [13]. After presenting some preliminary material (not all of which is later used in this articl...
In the papers [2] and [4] it is proved, among other things, that every infinite dimensional $\sigma$...
AbstractIn this paper a simple proof for the following theorem, due to Luxemburg and Zaanen is given...
Abstract. In the operator version of the Hahn-Banach-Kantorovich the-orem, the range space Y is assu...
Abstract. Let E and F be vector lattices and Lr(E, F) the ordered space of all regular operators, wh...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
AbstractLet E be a Dedekind σ-complete Banach lattice, let Ea denote the order continuous part of E,...
In this paper, we introduce and study the class of almost (L) limited operators, these are operators...
summary:We establish some sufficient conditions under which the subspaces of Dunford-Pettis operator...
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