ULTRAMETRIC AND NON-LOCALLY CONVEX ANALOGUES OF THE GENERAL CURVE LEMMA OF CONVENIENT DIFFERENTIAL CALCULUS

DOI10.1017/S0017089508004199zbMath1148.26034arXivmath/0609040OpenAlexW2963341459WikidataQ124867304 ScholiaQ124867304MaRDI QIDQ3503709

Helge Glöckner

Publication date: 9 June 2008

Published in: Glasgow Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0609040

zbMATH Keywords

topological vector spacesdifferentiationultrametric spacesultrametric curve

Mathematics Subject Classification ID

Not locally convex spaces (metrizable topological linear spaces, locally bounded spaces, quasi-Banach spaces, etc.) (46A16) Functional analysis over fields other than (mathbb{R}) or (mathbb{C}) or the quaternions; non-Archimedean functional analysis (46S10) Calculus of functions on infinite-dimensional spaces (26E15) Non-Archimedean analysis (26E30) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Cites Work

• Topological vector spaces. The theory without convexity conditions
• Smooth Lie groups over local fields of positive characteristic need not be analytic
• Differential calculus over general base fields and rings.
• Every smooth p-adic Lie group admits a compatible analytic structure
• Differentiability of a Function and of its Compositions with Functions of One Variable.
• Quasi-invariant measures on non-Archimedean groups and semigroups of loops and paths, their representations. II

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