Weighted diffeomorphism groups of Banach spaces and weighted mapping groups

DOI10.4064/dm484-0-1zbMath1252.58007arXiv1006.5580OpenAlexW1975727132MaRDI QIDQ2896205

Boris Walter

Publication date: 13 July 2012

Published in: Dissertationes Mathematicae (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1006.5580

zbMATH Keywords

gauge groupsemidirect productBanach manifoldSchwartz spacenoncompact manifolddiffeomorphism groupinfinite-dimensional Lie groupcurrent groupweighted function spacerapidly decreasing functionmapping group

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Loop groups and related constructions, group-theoretic treatment (22E67) Infinite-dimensional Lie groups and their Lie algebras: general properties (22E65) Groups of diffeomorphisms and homeomorphisms as manifolds (58D05) Topological linear spaces of continuous, differentiable or analytic functions (46E10) Continuous and differentiable maps in nonlinear functional analysis (46T20) Spaces of differentiable or holomorphic functions on infinite-dimensional spaces (46E50) Manifolds of mappings (58D15) Calculus of functions on infinite-dimensional spaces (26E15) Calculus of functions taking values in infinite-dimensional spaces (26E20) Infinite-dimensional manifolds (46T05) Manifolds of mappings (46T10)

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