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ℂ-differentiability of mappings of Hilbert spaces

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Abstract

The process of differentiation is studied for a class of mappings of regions of a Hilbert space. We introduce the concept of ℂCl-differentiability of a mapping at a point and establish sufficient conditions of ℂCl-differentiability.

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Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 47, No. 3, pp. 424–428, March, 1995.

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Gretskii, O.S. ℂ-differentiability of mappings of Hilbert spaces. Ukr Math J 47, 494–499 (1995). https://doi.org/10.1007/BF01056315

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  • DOI: https://doi.org/10.1007/BF01056315

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