Opuscula Mathematica
Opuscula Math. 29, no. 1 (2009), 57-67

Best approximation in Chebyshev subspaces of L(l<sub>1</sub><sup>n</sup>,l<sub>1</sub><sup>n</sup>)

Joanna Kowynia
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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Joanna Kowynia
AGH University of Science and Technology, Faculty of Applied Mathematics, al. Mickiewicza 30, 30-059 Cracow, Poland
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Received: 2008-01-25.
Revised: 2008-04-22.
Accepted: 2008-04-25.
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Joanna Kowynia, Best approximation in Chebyshev subspaces of L(l<sub>1</sub><sup>n</sup>,l<sub>1</sub><sup>n</sup>), Opuscula Math. 29, no. 1 (2009), 57-67, http://dx.doi.org/10.7494/OpMath.2009.29.1.57.
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