DOIAbstract
AbstractWe 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
AbstractWe 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
AbstractWe examine to what extent finite-dimensional spaces defined on locally compact subsets of th...
A Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the ...
AbstractIn the first part of this paper it is shown that a large class of weak Chebyshev subspaces o...
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 ...
The purpose of this paper is to introduce and discuss the consept of best approximation for subspace...
AbstractWe prove Kolmogorov′s type characterization of best approximation for given L ∈ L(W, V) in f...
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...
AbstractLet A ⊂ R, F(A) denote the linear space of all real functions on A. A finite-dimensional sub...
AbstractIn this note we consider Chebyshev subspaces (i.e., those that contain a unique nearest elem...
AbstractIn this paper, we study a variation of best Lp approximation obtained by using a new “norm.”...
AbstractWe examine to what extent finite-dimensional spaces defined on locally compact subsets of th...
A Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the ...
AbstractIn the first part of this paper it is shown that a large class of weak Chebyshev subspaces o...
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 ...
The purpose of this paper is to introduce and discuss the consept of best approximation for subspace...
AbstractWe prove Kolmogorov′s type characterization of best approximation for given L ∈ L(W, V) in f...
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...
AbstractLet A ⊂ R, F(A) denote the linear space of all real functions on A. A finite-dimensional sub...
AbstractIn this note we consider Chebyshev subspaces (i.e., those that contain a unique nearest elem...
AbstractIn this paper, we study a variation of best Lp approximation obtained by using a new “norm.”...
AbstractWe examine to what extent finite-dimensional spaces defined on locally compact subsets of th...
A Chebyshev set is a subset of a normed linear space that admits unique best approximations. In the ...
AbstractIn the first part of this paper it is shown that a large class of weak Chebyshev subspaces o...
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