AbstractWe show that there is a universal constant C > 1 such that any projection from Mn, n ⩾ 3, onto a hyperplane has norm greater than or equal to C. Here Mn may be given either the trace-class or operator norm. Hence the basis constants for Mn, n ⩾ 3, are bounded from below by C > 1. On the other hand, M2 is shown to have a monotone basis
For an $m \times n$ complex matrix $X$ of rank $r$ with Schur multiplier $S_X$ we show that there ex...
AbstractIf A ∘ X is the Schur product of n×n matrices A and X, then we study estimates on the norm o...
AbstractIf v is a norm on Cn, let H(v) denote the set of all norm-Hermitians in Cnn. Let S be a subs...
AbstractWe show that there is a universal constant C > 1 such that any projection from Mn, n ⩾ 3, on...
AbstractAny complex n × n matrix A satisfies the inequality‖ A ‖ 1 ≤ n 12 ‖ A ‖dwhere ∥.∥1 is the tr...
AbstractWe investigate the equivalence constants for the lp-coefficient norms and lq-operator norms ...
AbstractLet M denote the set of all complex n×n matrices whose columns span certain given linear sub...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46270/1/209_2005_Article_BF01215477.pd
AbstractIt is shown that the projection constant of an n-dimensional space E is strictly less than n...
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
Let φ{symbol}be a positive linear functional on the algebra of n × n complex matrices and p be a num...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
AbstractBasic properties of matricially normed spaces are considered, and a simple matrix norm chara...
greedy bases for matrix spaces with mixed ℓp and ℓq norms Gideon Schechtman† We show that non of the...
AbstractAs is well known, Clifford algebras can be faithfully realized as certain matrix algebras, t...
For an $m \times n$ complex matrix $X$ of rank $r$ with Schur multiplier $S_X$ we show that there ex...
AbstractIf A ∘ X is the Schur product of n×n matrices A and X, then we study estimates on the norm o...
AbstractIf v is a norm on Cn, let H(v) denote the set of all norm-Hermitians in Cnn. Let S be a subs...
AbstractWe show that there is a universal constant C > 1 such that any projection from Mn, n ⩾ 3, on...
AbstractAny complex n × n matrix A satisfies the inequality‖ A ‖ 1 ≤ n 12 ‖ A ‖dwhere ∥.∥1 is the tr...
AbstractWe investigate the equivalence constants for the lp-coefficient norms and lq-operator norms ...
AbstractLet M denote the set of all complex n×n matrices whose columns span certain given linear sub...
Peer Reviewedhttp://deepblue.lib.umich.edu/bitstream/2027.42/46270/1/209_2005_Article_BF01215477.pd
AbstractIt is shown that the projection constant of an n-dimensional space E is strictly less than n...
AbstractLet A be a bounded linear operator on a Hilbert space H; denote |A| = (A∗A)12 and the norm o...
Let φ{symbol}be a positive linear functional on the algebra of n × n complex matrices and p be a num...
SummaryLet K be a complete infinite rank valued field. In [4] we studied Norm Hilbert Spaces (NHS) o...
AbstractBasic properties of matricially normed spaces are considered, and a simple matrix norm chara...
greedy bases for matrix spaces with mixed ℓp and ℓq norms Gideon Schechtman† We show that non of the...
AbstractAs is well known, Clifford algebras can be faithfully realized as certain matrix algebras, t...
For an $m \times n$ complex matrix $X$ of rank $r$ with Schur multiplier $S_X$ we show that there ex...
AbstractIf A ∘ X is the Schur product of n×n matrices A and X, then we study estimates on the norm o...
AbstractIf v is a norm on Cn, let H(v) denote the set of all norm-Hermitians in Cnn. Let S be a subs...
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