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On projections inL1andL∞

✍ Scribed by Boris Shekhtman


Publisher
Springer
Year
1985
Tongue
English
Weight
205 KB
Volume
1
Category
Article
ISSN
0176-4276

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For # # (0, 1Â2] we construct n-dimensional polynomial subspaces Y n of C[&1, 1] and L 1 (&1, 1) such that the relative projection constants \*(Y n , C[&1, 1]) and \*(Y n , L 1 (&1, 1)) grow as n # . These subspaces are spanned by Chebyshev polynomials of the first and second kind, respectively. The