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Informativeness of functionals

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Ukrainian Mathematical Journal Aims and scope

Abstract

We introduce the concept of informativeness of a continuous functional on a metric spaceX with respect to a setM⊂X and a metric ρx. We pose the problem of finding the most informative functional. For some sets of continuous functions, this problem is solved by reduction to a subset of functionals given by the value of a function at a certain point.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    N. P. Korneichuk

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  1. N. P. Korneichuk
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 9, pp. 1156–1163, September, 1994.

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Korneichuk, N.P. Informativeness of functionals. Ukr Math J 46, 1272–1279 (1994). https://doi.org/10.1007/BF01059418

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  • DOI: https://doi.org/10.1007/BF01059418

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