Abstract
This article considers locally Lipshitzian mappings of domains of infinite-dimensional Hilbert spaces and proves a theorem on holomorphicity of such mappings that satisfy the conditions of C-differentiability.
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Literature cited
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Additional information
Translated from Ukrainskii Matematicheskii Zhurnal, Vol. 42, No. 12, pp. 1587–1592, December, 1990.
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Bondar', A.V., Romanenko, V.Y. Conditions for holomorphicity of Lipshitzian mappings of Hilbert spaces. Ukr Math J 42, 1425–1430 (1990). https://doi.org/10.1007/BF01060811
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DOI: https://doi.org/10.1007/BF01060811