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The class of spaces in which the theorem on the bounded differentiability of the inverse mapping is valid

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Abstract

This paper describes the class of all topological linear spaces for whose mappings into themselves the theorem on the bounded differentiability of the inverse mapping is valid.

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Literature cited

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Translated from Matematicheskie Zametki, Vol. 17, No. 5, pp. 703–709, May, 1975.

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Smolyanov, O.G. The class of spaces in which the theorem on the bounded differentiability of the inverse mapping is valid. Mathematical Notes of the Academy of Sciences of the USSR 17, 418–421 (1975). https://doi.org/10.1007/BF01155795

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Keywords

  • Linear Space
  • Inverse Mapping
  • Topological Linear Space