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Multimodular spaces and their properties

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Abstract

We introduce the so-called multimodular spaces and their particular cases. These investigations generalize some definitions and theorems obtained by S. Mazur, W. Orlicz, and J.Muzielak.

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References

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Authors and Affiliations

  1. Saratov Social-Economic Institute (branch) of Plekhanov Russian University of Economics, ul. Radishcheva 89, Saratov, 410003, Russia

    V. I. Filippov

Authors
  1. V. I. Filippov
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Correspondence to V. I. Filippov.

Additional information

Original Russian Text © V.I. Filippov, 2017, published in Izvestiya Vysshikh Uchebnykh Zavedenii. Matematika, 2017, No. 12, pp. 57–65.

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Filippov, V.I. Multimodular spaces and their properties. Russ Math. 61, 49–56 (2017). https://doi.org/10.3103/S1066369X17120064

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  • DOI: https://doi.org/10.3103/S1066369X17120064

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