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Absolute bases in Hilbert space

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Abstract

In this paper a necessary and sufficient conditions is found for a sequence of elements of a Hilbert space to be an absolute basis in the closure of its linear hull. The result obtained is applied to a specific system of functions from the space H2.

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Authors and Affiliations

  1. Rostov State University, USSR

    Yu. F. Korobeinik

Authors
  1. Yu. F. Korobeinik
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Additional information

Translated from Matematicheskie Zametki, Vol. 19, No. 2, pp. 259–266, February, 1976.

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Korobeinik, Y.F. Absolute bases in Hilbert space. Mathematical Notes of the Academy of Sciences of the USSR 19, 153–157 (1976). https://doi.org/10.1007/BF01098749

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  • DOI: https://doi.org/10.1007/BF01098749

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