Best approximation in Chebyshev subspaces of L(l_{1}^{n},l_{1}^{n})

Joanna Kowynia

doi:http://dx.doi.org/10.7494/OpMath.2009.29.1.57

Opuscula Math. 29, no. 1 (2009), 57-67
http://dx.doi.org/10.7494/OpMath.2009.29.1.57

Opuscula Mathematica

Best approximation in Chebyshev subspaces of L(l₁ⁿ,l₁ⁿ)

Abstract. Chebyshev subspaces of \(\mathcal{L}(l_1^n,l_1^n)\) are studied. A construction of a \(k\)-dimensional Chebyshev (not interpolating) subspace is given.

Keywords: interpolating subspace, Chebyshev subspace, strongly unique best approximation.

Mathematics Subject Classification: 41A50, 41A52.

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About the author

Joanna Kowynia
AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland

About the article

Received: 2008-01-25.
Revised: 2008-04-22.
Accepted: 2008-04-25.

Best approximation in Chebyshev subspaces of L(l1n,l1n)

Best approximation in Chebyshev subspaces of L(l₁ⁿ,l₁ⁿ)