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Characteristic of Chebyshev subspaces of finite codimension in L1

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Abstract

A criterion is established for Chebyshev subspaces of finite codimension in the space of summable functions.

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Literature cited

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  5. R. Phelps, Lectures on Choquet Theorems, Moscow (1968).

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Translated from Matematicheskie Zametki, Vol. 7, No. 2, pp. 155–163, February, 1970.

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Garkavi, A.L. Characteristic of Chebyshev subspaces of finite codimension in L1 . Mathematical Notes of the Academy of Sciences of the USSR 7, 95–99 (1970). https://doi.org/10.1007/BF01093489

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  • DOI: https://doi.org/10.1007/BF01093489

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