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On the ℂ-differentiability of mappings of Banach spaces

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Ukrainian Mathematical Journal Aims and scope

Abstract

We study the monogeneity conditions for ℝ-differentiable mappings of domains of a Banach space and establish criteria of ℂ-differentiability of a mapping at a point.

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Authors and Affiliations

  1. Institute of Mathematics, Ukrainian Academy of Sciences, Kiev

    O. S. Gretskii

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  1. O. S. Gretskii
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Additional information

Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 46, No. 10, pp. 1336–1342, October, 1994.

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Gretskii, O.S. On the ℂ-differentiability of mappings of Banach spaces. Ukr Math J 46, 1472–1479 (1994). https://doi.org/10.1007/BF01066091

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  • DOI: https://doi.org/10.1007/BF01066091

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