DOIAbstract
We prove necessary and sufficient conditions for X to be a Chebyshev subspace of (L1 ⊕ R)∞. Moreover, we find a nontrivial Chebyshev subspace of (L1 ⊕ c0)∞ when the scalar field is that of the complex numbers. © 1981
We prove necessary and sufficient conditions for X to be a Chebyshev subspace of (L1 ⊕ R)∞. Moreover, we find a nontrivial Chebyshev subspace of (L1 ⊕ c0)∞ when the scalar field is that of the complex numbers. © 1981
AbstractIn the first part of this paper it is shown that a large class of weak Chebyshev subspaces o...
AbstractWe examine to what extent finite-dimensional spaces defined on locally compact subsets of th...
AbstractCharacterization and uniqueness of minimax approximation by the product PQ of two finite dim...
We prove necessary and sufficient conditions for X to be a Chebyshev subspace of (L1 ⊕ R)∞. Moreover...
AbstractWe prove necessary and sufficient conditions for X to be a Chebyshev subspace of (L1 ⊕ R)∞. ...
Chebyshev subspaces of L(l(n/1), l(n/1) are studied. A construction of a k-dimensional Chebyshev (n...
Chebyshev subspaces of $\mathcal{K}(c_0,c_0)$ are studied. A $k$-dimensional non-interpolating Cheby...
If A is a subset of the normed linear space X, then A is said to be proximinal in X if for each xÎX ...
AbstractWe prove Kolmogorov′s type characterization of best approximation for given L ∈ L(W, V) in f...
The purpose of this paper is to introduce and discuss the consept of best approximation for subspace...
AbstractLet K be a subspace of Rn and let K⊥ be the orthogonal complement of K. Rockafellar has show...
AbstractThis paper deals with the problem of uniqueness of best Chebyshev approximations by subspace...
Given an Orlicz space Lφ, we give very relaxed sufficient conditions on φ to ensure that there exist...
AbstractIn this paper, we study a variation of best Lp approximation obtained by using a new “norm.”...
AbstractLet A ⊂ R, F(A) denote the linear space of all real functions on A. A finite-dimensional sub...
AbstractIn the first part of this paper it is shown that a large class of weak Chebyshev subspaces o...
AbstractWe examine to what extent finite-dimensional spaces defined on locally compact subsets of th...
AbstractCharacterization and uniqueness of minimax approximation by the product PQ of two finite dim...
We prove necessary and sufficient conditions for X to be a Chebyshev subspace of (L1 ⊕ R)∞. Moreover...
AbstractWe prove necessary and sufficient conditions for X to be a Chebyshev subspace of (L1 ⊕ R)∞. ...
Chebyshev subspaces of L(l(n/1), l(n/1) are studied. A construction of a k-dimensional Chebyshev (n...
Chebyshev subspaces of $\mathcal{K}(c_0,c_0)$ are studied. A $k$-dimensional non-interpolating Cheby...
If A is a subset of the normed linear space X, then A is said to be proximinal in X if for each xÎX ...
AbstractWe prove Kolmogorov′s type characterization of best approximation for given L ∈ L(W, V) in f...
The purpose of this paper is to introduce and discuss the consept of best approximation for subspace...
AbstractLet K be a subspace of Rn and let K⊥ be the orthogonal complement of K. Rockafellar has show...
AbstractThis paper deals with the problem of uniqueness of best Chebyshev approximations by subspace...
Given an Orlicz space Lφ, we give very relaxed sufficient conditions on φ to ensure that there exist...
AbstractIn this paper, we study a variation of best Lp approximation obtained by using a new “norm.”...
AbstractLet A ⊂ R, F(A) denote the linear space of all real functions on A. A finite-dimensional sub...
AbstractIn the first part of this paper it is shown that a large class of weak Chebyshev subspaces o...
AbstractWe examine to what extent finite-dimensional spaces defined on locally compact subsets of th...
AbstractCharacterization and uniqueness of minimax approximation by the product PQ of two finite dim...
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