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Limits on the real line of symmetric spaces on segments

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Abstract

In the same way as the known spacesM p ,M p , andI p are constructed on the basis of the spaceL p (−1, 1), we construct the corresponding “limit” spacesM E ,M E , andI E on the real line on the basis of a symmetric function spaceE on a segment and study some of their Banach properties.

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Authors and Affiliations

  1. Institute of Applied Problems of Mechanics and Mathematics, Ukrainian Academy of Sciences, Lvov

    O. V. Kucher & A. M. Plichko

Authors
  1. O. V. Kucher
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  2. A. M. Plichko
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Published in Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 1, pp. 46–55, January, 1995.

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Kucher, O.V., Plichko, A.M. Limits on the real line of symmetric spaces on segments. Ukr Math J 47, 50–62 (1995). https://doi.org/10.1007/BF01058795

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  • DOI: https://doi.org/10.1007/BF01058795

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