A Simple Theory of Differential Calculus in Locally Convex Spaces

DOI10.2307/2000018zbMath0588.58004OpenAlexW4241528463MaRDI QIDQ3715907

Richard A. Graff

Publication date: 1986

Full work available at URL: https://doi.org/10.2307/2000018

zbMATH Keywords

differential calculus for nonlinear maps between general locally convex spaces

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05) Nonlinear operators and their properties (47H99)

Cites Work

• Flows for differentiable vector fields on conjugate Banach spaces
• A convenient category of topological spaces
• The inverse function theorem of Nash and Moser
• Appropriate Locally Convex Domains for Differential Calculus
• Elements of nonlinear functional analysis
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