Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus

Details Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus

2007-01-02

arxiv.org/abs/math/0701072v2

Mathematics

Functional Analysis

21 pages, LaTeX (v2: discussion of non-reflexive Poisson vector spaces and further material added; extended preprint version)

Scientific paper

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.

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