DOIAbstract
Given a norm in the plane and 2013 unit vectors in this norm, there is a signed sum of these vectors whose norm is at most one. © 2013
Given a norm in the plane and 2013 unit vectors in this norm, there is a signed sum of these vectors whose norm is at most one. © 2013
summary:Let $\Bbb K$ be the field of real or complex numbers. In this note we characterize all inner...
AbstractA lower bound for the norm of the sum of n unit vectors in Rd having mutually nonnegative in...
AbstractWe prove that there exists a norm in the plane under which no n-point set determines more th...
Let ∥-.∥- be a norm in ℝd whose unit ball is B. Assume that V ⊂ B is a finite set of cardinality n, ...
We study the following question: for given $d\geq 2$, $n\geq d$ and $k \leq n$, what is the largest ...
We say that a family of m {xi}Ιi ε[m]\} vectors in a Banach space X satisfies the k-collapsing condi...
Given finite dimensional real or complex Banach spaces, E and F, with norms and , we denote by N[mu]...
AbstractGiven any family u1,…, um of vectors in Euclidean n-space of Euclidean norm at most unity it...
A. Letx1, …, x2k+1be unit vectors in a normed plane. Then there exist signs1, …, 2k+1{±1} such that ...
AbstractGiven finite dimensional real or complex Banach spaces, E and F, with norms ν:E→R and μ:F→R,...
AbstractLet A and B be bounded linear operators acting on a Hilbert space H. It is shown that the tr...
2000 Mathematics Subject Classification: Primary: 46B20. Secondary: 46H99, 47A12.We estimate the (mi...
AbstractIn this note, some norm inequalities for the commutator XY-YX and for the expression XY-YXT ...
We study the sizes of δ-additive sets of unit vectors in a d-dimensional normed space: the sum of an...
In this paper, we give a nontrivial lower bound for the fundamental unit of norm − 1 of a real quadr...
summary:Let $\Bbb K$ be the field of real or complex numbers. In this note we characterize all inner...
AbstractA lower bound for the norm of the sum of n unit vectors in Rd having mutually nonnegative in...
AbstractWe prove that there exists a norm in the plane under which no n-point set determines more th...
Let ∥-.∥- be a norm in ℝd whose unit ball is B. Assume that V ⊂ B is a finite set of cardinality n, ...
We study the following question: for given $d\geq 2$, $n\geq d$ and $k \leq n$, what is the largest ...
We say that a family of m {xi}Ιi ε[m]\} vectors in a Banach space X satisfies the k-collapsing condi...
Given finite dimensional real or complex Banach spaces, E and F, with norms and , we denote by N[mu]...
AbstractGiven any family u1,…, um of vectors in Euclidean n-space of Euclidean norm at most unity it...
A. Letx1, …, x2k+1be unit vectors in a normed plane. Then there exist signs1, …, 2k+1{±1} such that ...
AbstractGiven finite dimensional real or complex Banach spaces, E and F, with norms ν:E→R and μ:F→R,...
AbstractLet A and B be bounded linear operators acting on a Hilbert space H. It is shown that the tr...
2000 Mathematics Subject Classification: Primary: 46B20. Secondary: 46H99, 47A12.We estimate the (mi...
AbstractIn this note, some norm inequalities for the commutator XY-YX and for the expression XY-YXT ...
We study the sizes of δ-additive sets of unit vectors in a d-dimensional normed space: the sum of an...
In this paper, we give a nontrivial lower bound for the fundamental unit of norm − 1 of a real quadr...
summary:Let $\Bbb K$ be the field of real or complex numbers. In this note we characterize all inner...
AbstractA lower bound for the norm of the sum of n unit vectors in Rd having mutually nonnegative in...
AbstractWe prove that there exists a norm in the plane under which no n-point set determines more th...
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