Add to ORKGAbstract. It is shown that a finite dimensional Banach space has the Eu-clidean distance of maximal order if and only if it contains a proportional dimensional subspace (and a quotient of a subspace) of a very special form. 1
AbstractA Banach space is said to be approximately finite-dimensional if it has a nonstandard hull l...
AbstractWe prove several results of the following type: given finite-dimensional normed space V poss...
We establish upper bounds for the distance to finite-dimensional subspaces in inner product spaces a...
By d(X,Y) we denote the (multiplicative) Banach-Mazur distance be-tween two normed spaces X and Y. L...
Many of the fundamental research problems in the geometry of normed linear spaces can be loosely phr...
The purpose of this paper is to study certain geometrical properties for non-complete normed spaces....
ABSTRACT. No non-reflexive quasi-reflexive Banach space is isomorphic to a complemented subspace of ...
A Banach space X has a strongly non-norming subspace in its dual if and only if X has infinite codim...
Let (A,d) be a bounded metric space. A positive real number a is said to be a rendezvous number of A...
For every finite subset F of the unit sphere S of a Banach space and for every x 2 S consider the av...
We establish upper bounds for the distance to finite-dimensional subspaces in inner product spaces ...
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...
Dedicated to the memory of Prof. Klaus Floret. Abstract. We prove that a Banach space that is convex...
Given a Banach space E with a supremum-type norm induced by a collection of operators, we prove that...
AbstractA Banach space is said to be approximately finite-dimensional if it has a nonstandard hull l...
AbstractWe prove several results of the following type: given finite-dimensional normed space V poss...
We establish upper bounds for the distance to finite-dimensional subspaces in inner product spaces a...
By d(X,Y) we denote the (multiplicative) Banach-Mazur distance be-tween two normed spaces X and Y. L...
Many of the fundamental research problems in the geometry of normed linear spaces can be loosely phr...
The purpose of this paper is to study certain geometrical properties for non-complete normed spaces....
ABSTRACT. No non-reflexive quasi-reflexive Banach space is isomorphic to a complemented subspace of ...
A Banach space X has a strongly non-norming subspace in its dual if and only if X has infinite codim...
Let (A,d) be a bounded metric space. A positive real number a is said to be a rendezvous number of A...
For every finite subset F of the unit sphere S of a Banach space and for every x 2 S consider the av...
We establish upper bounds for the distance to finite-dimensional subspaces in inner product spaces ...
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...
Dedicated to the memory of Prof. Klaus Floret. Abstract. We prove that a Banach space that is convex...
Given a Banach space E with a supremum-type norm induced by a collection of operators, we prove that...
AbstractA Banach space is said to be approximately finite-dimensional if it has a nonstandard hull l...
AbstractWe prove several results of the following type: given finite-dimensional normed space V poss...
We establish upper bounds for the distance to finite-dimensional subspaces in inner product spaces a...