On the ?-differentiability of mappings of Banach spaces
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.
English version (Springer): Ukrainian Mathematical Journal 46 (1994), no. 10, pp 1472-1479.
Citation Example: Gretskii O. S. On the ?-differentiability of mappings of Banach spaces // Ukr. Mat. Zh. - 1994. - 46, № 10. - pp. 1336–1342.
Full text