AbstractLet X be a normed space, x ε X, ‖x‖=1. Then m(x) is the infimum of the lengths of all curves in the unit sphere of X, connecting x and −x, and m(X):=inf{m(x): :‖x‖=1}. If m(x)=2, then x is a flat spot.It is proved here, that, if m(X)=2 (equivalently, if the completion of X is not super-reflexive), then, for every xo≠0, X admits an equivalent norm for which xo is a flat spot
Abstract. Constructive properties of uniform convexity, strict convexity, near convexity, and metric...
AbstractBy modifying what “admissible” means in the construction of T, a unified way of obtaining th...
Let M be a complete locally compact CAT(0)-space, and X an asymptotic cone of M . For γ ⊂...
AbstractLet X be a normed space, x∈X||x||=1. Then m(x) is the infimum of the lengths of all curves i...
Abstract. In this paper we study the behaviour of two functions which can be defined in normed space...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
In this note we compare two ways of measuring the n-dimensional “flatness” of a set S⊂RdS⊂ℝd , where...
Our main result gives an improved bound on the filling areas of curves in Banach spaces which are no...
We consider Marstrand type projection theorems for closest-point projections in the normed space ℝ²...
This work deals with the study of bisectors (i.e. sets of points of equal distance from two given po...
ABSTRACT. As a consequence of results due to Bourgain and Stegall, on a separable Banach space whose...
We study critical regularity assumptions on space-filling curves that possess certain modulus of con...
AbstractCompletely flat Banach spaces (i.e. Banach spaces having a spanning centrally symmetric clos...
AbstractIt is shown that a Banach space X is not superreflexive iff there exists a Banach space Y, f...
Dedicated to the memory of Prof. Klaus Floret. Abstract. We prove that a Banach space that is convex...
Abstract. Constructive properties of uniform convexity, strict convexity, near convexity, and metric...
AbstractBy modifying what “admissible” means in the construction of T, a unified way of obtaining th...
Let M be a complete locally compact CAT(0)-space, and X an asymptotic cone of M . For γ ⊂...
AbstractLet X be a normed space, x∈X||x||=1. Then m(x) is the infimum of the lengths of all curves i...
Abstract. In this paper we study the behaviour of two functions which can be defined in normed space...
We prove that in some classes of reflexive Banach spaces every maximal diametral set must be diametr...
In this note we compare two ways of measuring the n-dimensional “flatness” of a set S⊂RdS⊂ℝd , where...
Our main result gives an improved bound on the filling areas of curves in Banach spaces which are no...
We consider Marstrand type projection theorems for closest-point projections in the normed space ℝ²...
This work deals with the study of bisectors (i.e. sets of points of equal distance from two given po...
ABSTRACT. As a consequence of results due to Bourgain and Stegall, on a separable Banach space whose...
We study critical regularity assumptions on space-filling curves that possess certain modulus of con...
AbstractCompletely flat Banach spaces (i.e. Banach spaces having a spanning centrally symmetric clos...
AbstractIt is shown that a Banach space X is not superreflexive iff there exists a Banach space Y, f...
Dedicated to the memory of Prof. Klaus Floret. Abstract. We prove that a Banach space that is convex...
Abstract. Constructive properties of uniform convexity, strict convexity, near convexity, and metric...
AbstractBy modifying what “admissible” means in the construction of T, a unified way of obtaining th...
Let M be a complete locally compact CAT(0)-space, and X an asymptotic cone of M . For γ ⊂...
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