AbstractIt is shown that the projection constant of an n-dimensional space E is strictly less than n12. Also, if the projection constant of E is close to n12, so is the 1-summing norm of the identity on E
\begin{abstract} In this paper we address the problem of finding the best constants in inequalitie...
AbstractLetr,s∈]0,1]. We prove that a Banach spaceXsatisfies theM(r,s)-inequality (i.e.,[formula]whe...
AbstractWe show that there is a universal constant C > 1 such that any projection from Mn, n ⩾ 3, on...
AbstractIt is shown that the projection constant of an n-dimensional space E is strictly less than n...
AbstractGindler and Goldstein conjectured certain “best possible” upper bounds for the smallest cons...
AbstractLet V be an n-dimensional subspace of a Banach space X. There is a natural, easily construct...
summary:Generalization of certain results in [Sap] and simplification of the proofs are given. We ob...
summary:Generalization of certain results in [Sap] and simplification of the proofs are given. We ob...
AbstractIf every n-dimensional subspace of X∗ is the range of a projection of norm less than C, then...
Derivation of inequalities and application to Cauchy problem for infinite system of equation
AbstractLet 1 < p ⩽ 2 ⩽ q < ∞ and X be either a Banach lattice which is p-convex and q-concave or a ...
AbstractIn this paper the asymptotically sharp lower bound (4π2)(ln n − ln ln n) for the norms of li...
AbstractIt is proved that the projection constants of two- and three-dimensional spaces are bounded ...
AbstractIt is proved that the projection constants of two- and three-dimensional spaces are bounded ...
AbstractLet Hn be an n-dimensional Haar subspace of X=CR[a,b] and let Hn−1 be a Haar subspace of Hn ...
\begin{abstract} In this paper we address the problem of finding the best constants in inequalitie...
AbstractLetr,s∈]0,1]. We prove that a Banach spaceXsatisfies theM(r,s)-inequality (i.e.,[formula]whe...
AbstractWe show that there is a universal constant C > 1 such that any projection from Mn, n ⩾ 3, on...
AbstractIt is shown that the projection constant of an n-dimensional space E is strictly less than n...
AbstractGindler and Goldstein conjectured certain “best possible” upper bounds for the smallest cons...
AbstractLet V be an n-dimensional subspace of a Banach space X. There is a natural, easily construct...
summary:Generalization of certain results in [Sap] and simplification of the proofs are given. We ob...
summary:Generalization of certain results in [Sap] and simplification of the proofs are given. We ob...
AbstractIf every n-dimensional subspace of X∗ is the range of a projection of norm less than C, then...
Derivation of inequalities and application to Cauchy problem for infinite system of equation
AbstractLet 1 < p ⩽ 2 ⩽ q < ∞ and X be either a Banach lattice which is p-convex and q-concave or a ...
AbstractIn this paper the asymptotically sharp lower bound (4π2)(ln n − ln ln n) for the norms of li...
AbstractIt is proved that the projection constants of two- and three-dimensional spaces are bounded ...
AbstractIt is proved that the projection constants of two- and three-dimensional spaces are bounded ...
AbstractLet Hn be an n-dimensional Haar subspace of X=CR[a,b] and let Hn−1 be a Haar subspace of Hn ...
\begin{abstract} In this paper we address the problem of finding the best constants in inequalitie...
AbstractLetr,s∈]0,1]. We prove that a Banach spaceXsatisfies theM(r,s)-inequality (i.e.,[formula]whe...
AbstractWe show that there is a universal constant C > 1 such that any projection from Mn, n ⩾ 3, on...
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