Sufficient conditions of $\Bbb C$-differentiability of a class of maps of domains in the Hilbert space (in Ukrainian) |
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| Author |
Institute of Mathematics, Repina 3, 252601, Kiev, Ukraine
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| Abstract |
The process of differentiation for some
class of maps of domains in the Hilbert space is investigated. A notion of
$\Bbb C Cl$-differentiability of map in a point is introduced and sufficient
conditions for this differentiability are given.
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| Keywords |
differentiation, maps, Hilbert space, CCl-differentiability, sufficient conditions
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| DOI |
doi:10.30970/ms.2.1.53-58
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Reference |
1. Бондарь А.В. Локальные геометрические характеристики голоморфных отображений.–Киев: Наукова думка, 1992.–220 с.
2. Крейн М., Мильман Д., Рутман М. Об одном свойстве базиса в пространстве Banach'a // Записки н.-иссл. ин. математики и механики ХГУ и Харьковского мат. общества.–1939.–T.XVI.-С.106–108. 3. Лянце В.Э., Сторож О.Г. Методы теории неограниченных операторов.–Киев: Наукова думка, 1993.–210 с. Institute of Mathematics, Repina 3, 252601, Kiev, Ukraine |
| Pages |
53-58
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| Volume |
2
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| Issue |
1
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| Year |
1993
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| Journal |
Matematychni Studii
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| Full text of paper | |
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