Infinite dimensional calculus allowing nonconvex domains with empty interior

DOI10.1007/BF01302783zbMath0721.58007OpenAlexW1998533128MaRDI QIDQ2640954

Louis D. Nel

Publication date: 1990

Published in: Monatshefte für Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/178493

zbMATH Keywords

locally convex spacesinfinite dimensional calculusdifferentiation theorytangential domain

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Enriched categories (over closed or monoidal categories) (18D20)

Related Items (6)

Infinite dimensional holomorphy via categorical differential calculus ⋮ Complex calculus via foundation theorems ⋮ HOLOMORPHIC MAPS ON DOMAINS WITH EMPTY INTERIOR ⋮ Differential calculus founded on an isomorphism ⋮ Categorical differentiation theory and Cauchy continuity ⋮ Holomorphy in convergence spaces

Cites Work

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• Differential calculus in locally convex spaces
• A convenient setting for differential calculus
• Infinite dimensional holomorphy via categorical differential calculus
• A theory of differentiation in locally convex spaces
• The inverse function theorem of Nash and Moser
• Elements of nonlinear functional analysis
• The various definitions of the derivative in linear topological spaces

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