Local invertibility of non-archimedean vector-valued functions

DOI10.5802/ambp.102zbMath0922.46065OpenAlexW2322342514MaRDI QIDQ1128331

Stany De Smedt

Publication date: 8 October 1998

Published in: Annales Mathématiques Blaise Pascal (Search for Journal in Brave)

Full work available at URL: http://www.numdam.org/item?id=AMBP_1998__5_1_13_0

zbMATH Keywords

derivativedifferentialnon-Archimedean vector space

Mathematics Subject Classification ID

Spaces of vector- and operator-valued functions (46E40) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items

Spaces of functions of class \(C^r\) on \(\mathcal O_F\) ⋮ Groups of diffeomorphisms and geometric wraps of manifolds over ultra-normed fields ⋮ Implicit functions from topological vector spaces to Banach spaces ⋮ Hausdorff dimension and \(p\)-adic diophantine approximation.

Cites Work

• The van der Put base for \(C^ n\)-functions
• \(p\)-adic continuously differentiable functions of several variables
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