Applications of hypocontinuous bilinear maps in infinite-dimensional differential calculus

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dc.creatorGlockner, Helge
dc.date2007-01-02
dc.date2007-01-14
dc.date.accessioned2026-07-07T07:40:13Z
dc.date.available2026-07-07T07:40:13Z
dc.descriptionParadigms 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.
dc.description21 pages, LaTeX (v2: discussion of non-reflexive Poisson vector spaces and further material added; extended preprint version)
dc.identifierhttps://arxiv.org/abs/math/0701072
dc.identifierhttp://arxiv.org/abs/math/0701072
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/121711
dc.subjectFunctional Analysis
dc.subjectMathematical Physics
dc.subject26E15; 26E20 (primary) 17B63; 22E65; 46A32; 46G20; 46T25 (secondary)
dc.titleApplications of hypocontinuous bilinear maps in infinite-dimensional differential calculus
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