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Criteria for the summability of a divergent sequence to an extremal point of its kernel by a regular positive matrix

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Literature cited

  1. G. H. Hardy, Divergent Series, Oxford Univ. Press (1949).

  2. R. Cooke, Infinite Matrices and Spaces of Sequences [Russian translation], Fizmatgiz, Moscow (1960).

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  3. N. A. Davydov, “The summation of bounded sequences by regular matrices,” in: The Theory of Functions, Functional Analysis and Their Appliations [in Russian], Vol. 23, Kharkov (1975), pp. 24–31.

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  4. N. A. Davydov, “The summation of bounded sequences by regular positive matrices,” Mat. Zametki,13, No. 2, 179–188 (1973).

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  5. N. A. Davydov, “The Knopp kernel of a regular positive transformation,” Izv. Vyssh. Uchebn. Zaved., Mat., No. 2 (249), 30–40 (1983).

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Authors and Affiliations

  1. Kiev Pedagogic Institute, USSR

    N. A. Davydov

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  1. N. A. Davydov
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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 36, No. 3, pp. 292–297, May–June, 1984.

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Davydov, N.A. Criteria for the summability of a divergent sequence to an extremal point of its kernel by a regular positive matrix. Ukr Math J 36, 262–266 (1984). https://doi.org/10.1007/BF01077458

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  • DOI: https://doi.org/10.1007/BF01077458

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