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Use of the convolution in proving unicellularity

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Abstract

The compactness of certain special convolution operators is used to prove the unicellularity of weighted shift operators and to describe cyclic vectors of the integration operator.

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Literature cited

  1. N. K. Nikol'skii, in: Theory of Operators in Function Spaces [in Russian], Nauka, Novosibirsk (1977).

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  2. I. H. Dimovski, Convolutional Calculus, Sofia (1982).

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Authors
  1. M. T. Karaev
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Additional information

Translated from Zapiski Nauchnykh Seminarov Leningradskogo Otdeleniya Matematicheskogo Instituta im. V. A. Steklova AN SSSR, Vol. 135, pp. 66–68, 1984.

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Karaev, M.T. Use of the convolution in proving unicellularity. J Math Sci 31, 2680–2681 (1985). https://doi.org/10.1007/BF02107250

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  • DOI: https://doi.org/10.1007/BF02107250

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