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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Vydané v:	Axioms Ročník 11; číslo 5; s. 221
Hlavný autor:	Glöckner, Helge
Médium:	Journal Article
Jazyk:	English
Vydavateľské údaje:	Basel MDPI AG 01.05.2022
Predmet:	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
On-line prístup:	Získať plný text
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