AbstractWe prove that (l1,¦·¦) is not antiproximinal in (l1,¦·¦)∗∗, where ¦·¦ is the norm constructed in [1]. This fact shows that Davidson's equivalent norm fails to deliver on his promise
AbstractLet us say that a subspace M of a Banach space X is absolutely proximinal if it is proximina...
AbstractIt is well known that, if the identity operator on an n-dimensional Banach space V can be ex...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
AbstractWe prove that (l1,¦·¦) is not antiproximinal in (l1,¦·¦)∗∗, where ¦·¦ is the norm constructe...
summary:If $X$ is a Banach space then the Banach space $c(X)$ of all $X$-valued convergent sequences...
summary:If $X$ is a Banach space then the Banach space $c(X)$ of all $X$-valued convergent sequences...
AbstractThe Banach space c0 equipped with Day's norm is shown to contain an isomorph of the unit bal...
We prove that every Banach space containing a complemented copy of c<sub>0</sub> has an antiproximin...
AbstractWe prove that every Banach space containing a complemented copy of c0 has an antiproximinal ...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
If the second dual of a Banach space E is smooth at each point of a certain norm dense subset, then ...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
AbstractLet G be a reflexive subspace of the Banach space E and let Lp(I,E) denote the space of all ...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
AbstractA characterization of normed linear spaccs, which “transmit” proximinality for subspaces of ...
AbstractLet us say that a subspace M of a Banach space X is absolutely proximinal if it is proximina...
AbstractIt is well known that, if the identity operator on an n-dimensional Banach space V can be ex...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
AbstractWe prove that (l1,¦·¦) is not antiproximinal in (l1,¦·¦)∗∗, where ¦·¦ is the norm constructe...
summary:If $X$ is a Banach space then the Banach space $c(X)$ of all $X$-valued convergent sequences...
summary:If $X$ is a Banach space then the Banach space $c(X)$ of all $X$-valued convergent sequences...
AbstractThe Banach space c0 equipped with Day's norm is shown to contain an isomorph of the unit bal...
We prove that every Banach space containing a complemented copy of c<sub>0</sub> has an antiproximin...
AbstractWe prove that every Banach space containing a complemented copy of c0 has an antiproximinal ...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...
If the second dual of a Banach space E is smooth at each point of a certain norm dense subset, then ...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
AbstractLet G be a reflexive subspace of the Banach space E and let Lp(I,E) denote the space of all ...
AbstractLet x be a real Banach space and (Ω, μ) a finite measure space. If φ is an increasing subadd...
AbstractA characterization of normed linear spaccs, which “transmit” proximinality for subspaces of ...
AbstractLet us say that a subspace M of a Banach space X is absolutely proximinal if it is proximina...
AbstractIt is well known that, if the identity operator on an n-dimensional Banach space V can be ex...
AbstractThe object of this paper is to prove the following theorem: If Y is a closed subspace of the...