Titlebook: Differentiable Operators and Nonlinear Equations; Victor Khatskevich,David Shoiykhet Book 1994 Springer Basel AG 1994 banach spaces.calcul

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Juanita Heigham,Robert A. Crokerquations in a real space can be studied by considering the complexification of the space and by extending the operator such that the given equation reduces to an equation in a complex space. In order to emphasize the important role of the complex spaces in the theory of differentiable operators, we

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Integration in normed spaces,symbol . means either the function . itself, or the value of . at . the precise meaning will follow from the context. Prom now on the term “vector-function” will be used in a broader sense, for any mapping.with the domain in a finite dimensional space and with values in a normed space.

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