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On differentiability of mappings of finite-dimensional domains into Banach spaces

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Ukrainian Mathematical Journal Aims and scope

Abstract

The well-known Stepanov criterion of the differentiability (approximate differentiability) of real functions is generalized to mappings of subsets ofR n into Banach spaces satisfying the Rieffel sharpness condition, in particular, reflexive Banach spaces. For Banach spaces that do not satisfy the Rieffel sharpness condition, this criterion is not true.

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References

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Authors
  1. A. V. Bondar
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Additional information

Institute of Mathematics, Ukrainian Academy of Sciences, Kiev. Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 51, No. 1, pp. 3–11, January, 1999.

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Bondar, A.V. On differentiability of mappings of finite-dimensional domains into Banach spaces. Ukr Math J 51, 1–10 (1999). https://doi.org/10.1007/BF02591910

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  • DOI: https://doi.org/10.1007/BF02591910

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