Aspects of Differential Calculus Related to Infinite-Dimensional Vector Bundles and Poisson Vector Spaces

We prove various results in infinite-dimensional differential calculus that relate the differentiability properties of functions and associated operator-valued functions (e.g., differentials). The results are applied in two areas: (1) in the theory of infinite-dimensional vector bundles, to construc...

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Bibliographic Details
Published in:Axioms Vol. 11; no. 5; p. 221
Main Author: Glöckner, Helge
Format: Journal Article
Language:English
Published: Basel MDPI AG 01.05.2022
Subjects:
Calculus
cocycle
completion
Differential calculus
direct sum
dual bundle
Fields (mathematics)
Hypotheses
Lie groups
Mapping
Operators (mathematics)
tensor product
Tensors
Topology
vector bundle
Vector spaces
ISSN:2075-1680, 2075-1680
Online Access:Get full text
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