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Autor:
S J Havinson
Publikováno v:
Mathematics of the USSR-Izvestiya. 3:617-632
Criteria are obtained for sums of the form (x) + ψ(y) to deviate by the smallest possible amount from a given function f(x, y) in various metrics.
Autor:
Z S Romanova, S J Havinson
Publikováno v:
Mathematics of the USSR-Sbornik. 18:1-14
It is known that if a measure μ has no atoms, then the space L1(T, μ) contains no finite-dimensional Cebysev subspace. In the present work it is shown that an arbitrary finite-dimensional subspace E in L1(T, μ) (for which the measure has no atoms)