Add to ORKGLet CG be a set of symmetric norms on R2 such that p(0, 1) = p(1, 0) = 1 for any norm p in CG. Our questions are: Do the extreme points of CG exist? What are all the extreme points of CG? To answer these questions, compactness plays an important role in completing the sufficient conditions of known theorems. Results show that CG has extreme points and all its extreme points are found
AbstractIf s1(A) ⩾ ⋯ ⩾ sm(A) are the singular values of A ϵ Mm,n(C), and if 1 ⩽k ⩽m ⩽ and p ⩾ 1, the...
The so-called l0 pseudonorm on the Euclidean space Rd counts the number of nonzero components of a...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
Let CG be a set of symmetric norms on R2 such that p(0, 1) = p(1, 0) = 1 for any norm p in CG. Our q...
AbstractThe set of all absolute normalized norms on R2 (denoted by AN2) and the set of all convex fu...
AbstractLet A be the set of all equivalent norms on ℓ1 which satisfy the FPP. We prove that A contai...
AbstractWe characterize those elements in fully symmetric spaces on the interval (0,1) or on the sem...
AbstractUsing the variational method, it is shown that the set of all strong peak functions in a clo...
summary:Every separable nonreflexive Banach space admits an equivalent norm such that the set of the...
AbstractIn this paper, we introduce and study several norms which are constructed in order to satisf...
[EN] The Krein-Milman theorem states that every compact convex subset in a locally compact convex sp...
summary:We investigate which points in the unit sphere of the Besicovitch--Orlicz space of almost pe...
For every n ≥ 2 this paper is devoted to the description of the sets of extreme and exposed points o...
In this paper, elementary properties of relative extreme points are investigated. The properties are...
AbstractLet K be the field of real or complex numbers. A characterization of all inner product norms...
AbstractIf s1(A) ⩾ ⋯ ⩾ sm(A) are the singular values of A ϵ Mm,n(C), and if 1 ⩽k ⩽m ⩽ and p ⩾ 1, the...
The so-called l0 pseudonorm on the Euclidean space Rd counts the number of nonzero components of a...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...
Let CG be a set of symmetric norms on R2 such that p(0, 1) = p(1, 0) = 1 for any norm p in CG. Our q...
AbstractThe set of all absolute normalized norms on R2 (denoted by AN2) and the set of all convex fu...
AbstractLet A be the set of all equivalent norms on ℓ1 which satisfy the FPP. We prove that A contai...
AbstractWe characterize those elements in fully symmetric spaces on the interval (0,1) or on the sem...
AbstractUsing the variational method, it is shown that the set of all strong peak functions in a clo...
summary:Every separable nonreflexive Banach space admits an equivalent norm such that the set of the...
AbstractIn this paper, we introduce and study several norms which are constructed in order to satisf...
[EN] The Krein-Milman theorem states that every compact convex subset in a locally compact convex sp...
summary:We investigate which points in the unit sphere of the Besicovitch--Orlicz space of almost pe...
For every n ≥ 2 this paper is devoted to the description of the sets of extreme and exposed points o...
In this paper, elementary properties of relative extreme points are investigated. The properties are...
AbstractLet K be the field of real or complex numbers. A characterization of all inner product norms...
AbstractIf s1(A) ⩾ ⋯ ⩾ sm(A) are the singular values of A ϵ Mm,n(C), and if 1 ⩽k ⩽m ⩽ and p ⩾ 1, the...
The so-called l0 pseudonorm on the Euclidean space Rd counts the number of nonzero components of a...
We study the extreme points of the unit ball of a Banach space that remain extreme when considered, ...