Opuscula Math. 29, no. 1 (), 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.