Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus
Functional Analysis
2007-05-23 v2 Mathematical Physics
math.MP
Abstract
Paradigms of bilinear maps f between locally convex spaces (like evaluation or composition) are not continuous, but merely hypocontinuous. We describe situations where, nonetheless, compositions of f with Keller C^n_c-maps (on suitable domains) are C^n_c. Our main applications concern holomorphic families of operators, and the foundations of locally convex Poisson vector spaces.
Keywords
Cite
@article{arxiv.math/0701072,
title = {Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus},
author = {Helge Glockner},
journal= {arXiv preprint arXiv:math/0701072},
year = {2007}
}
Comments
21 pages, LaTeX (v2: discussion of non-reflexive Poisson vector spaces and further material added; extended preprint version)