Observational Banach Manifolds
Functional Analysis
2015-11-09 v1
Abstract
In this paper, the concept of selective real manifolds is extended. It is proved that the product of two selective Banach manifolds is a selective Banach manifold. The notion of the --level differentiation of the mappings between selective Banach manifolds is presented. Basic properties of --differentiable maps are studied. Tangent space for at a point of a selective Banach manifold is considered.
Cite
@article{arxiv.1403.2736,
title = {Observational Banach Manifolds},
author = {Mohammad Mehrpoya and Mohammadreza Molaei},
journal= {arXiv preprint arXiv:1403.2736},
year = {2015}
}