Differentiable mappings on products with different degrees of differentiability in the two factors
Functional Analysis
2015-05-07 v2
Abstract
We develop differential calculus of -mappings on products of locally convex spaces and prove exponential laws for such mappings. As an application, we consider differential equations in Banach spaces depending on a parameter in a locally convex space. Under suitable assumptions, the associated flows are mappings of class .
Keywords
Cite
@article{arxiv.1208.6510,
title = {Differentiable mappings on products with different degrees of differentiability in the two factors},
author = {Hamza Alzaareer and Alexander Schmeding},
journal= {arXiv preprint arXiv:1208.6510},
year = {2015}
}
Comments
42 Pages, Latex, v2: Corrected several misprints and typos. The results remain unchanged