Add to ORKGAbstract. In the operator version of the Hahn-Banach-Kantorovich the-orem, the range space Y is assumed to be Dedekind complete. Y. A. Abramovich and A. W. Wickstead improved this by assuming only the Cantor property on Y. Along the same line of reasoning, we obtained in this paper several new results of this type. We also see that assuming Cantor property on the domain spaces instead gives good results, too. 1
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
AbstractIn the following let E and F be arbitrary Banach lattices and assume that F is Dedekind comp...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
Abstract. In the classical Hahn-Banach-Kantorovich theorem, the range space Y is Dedekind complete. ...
We show that every positive linear operator from a majorizing subspace of a separable Fréchet lattic...
We show that every positive linear operator from a majorizing subspace of a separable Fréchet lattic...
This work introduces operator space analogues of the Separable Extension Property (SEP) for Banach s...
AbstractThe classical Hahn-Banach Theorem states that any linear bounded functional defined on a lin...
AbstractIn this note we prove extensions of the theorems mentioned in the title. In the existing ver...
We prove that Burenkov\u2019s extension operator preserves Sobolev spaces built on generalMorrey spa...
AbstractIn this paper we shall consider the relationships between a local version of the single valu...
We prove that generalized Cantor sets of class α, α ≠ 2, have the extension property iff α < 2. Thus...
AbstractRecent contributions on spaceability have overlooked the applicability of results on operato...
Abstract. It is well known that the Hahn-Banach theorem, that is, the extension theo-rem for bounded...
It is known that two Banach space operators that are Schur coupled are also equivalent after extensi...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
AbstractIn the following let E and F be arbitrary Banach lattices and assume that F is Dedekind comp...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
Abstract. In the classical Hahn-Banach-Kantorovich theorem, the range space Y is Dedekind complete. ...
We show that every positive linear operator from a majorizing subspace of a separable Fréchet lattic...
We show that every positive linear operator from a majorizing subspace of a separable Fréchet lattic...
This work introduces operator space analogues of the Separable Extension Property (SEP) for Banach s...
AbstractThe classical Hahn-Banach Theorem states that any linear bounded functional defined on a lin...
AbstractIn this note we prove extensions of the theorems mentioned in the title. In the existing ver...
We prove that Burenkov\u2019s extension operator preserves Sobolev spaces built on generalMorrey spa...
AbstractIn this paper we shall consider the relationships between a local version of the single valu...
We prove that generalized Cantor sets of class α, α ≠ 2, have the extension property iff α < 2. Thus...
AbstractRecent contributions on spaceability have overlooked the applicability of results on operato...
Abstract. It is well known that the Hahn-Banach theorem, that is, the extension theo-rem for bounded...
It is known that two Banach space operators that are Schur coupled are also equivalent after extensi...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...
AbstractIn the following let E and F be arbitrary Banach lattices and assume that F is Dedekind comp...
We show that it is impossible to prove the existence of a linear (bounded or unbounded) functional o...