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Approximating weak Chebyshev subspaces by Chebyshev subspaces |
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| Authors: | Frank Deutsch Larry L Schumaker Zvi Ziegler |
| Institution: | a Department of Mathematics, Pennsylvania State University, 417 McAllister Building, Eberly College of Science, University Park, PA 16802-6401, USA;b Department of Mathematics, Center for Constructive Approximation, Vanderbilt University, Nashville, TN 37240, USA;c Department of Mathematics, Technion, Haifa, Israel |
| Abstract: | We examine to what extent finite-dimensional spaces defined on locally compact subsets of the line and possessing various weak Chebyshev properties (involving sign changes, zeros, alternation of best approximations, and peak points) can be uniformly approximated by a sequence of spaces having related properties. |
| Keywords: | Chebyshev subspace Weak Chebyshev subspace Interpolating subspace Alternation property Peak point property Interpolating property Weakly interpolating |
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