An example on composite differentiable functions in infinite dimensions

DOI10.1017/S000497270000352XzbMath0665.46018OpenAlexW2163587085MaRDI QIDQ3816535

Jesús Angel Jaramillo

Publication date: 1989

Published in: Bulletin of the Australian Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1017/s000497270000352x

zbMATH Keywords

real-analytic mappingFréchet topology of uniform convergence on compact subsets of functions and all their derivativesGlaeser theoremweakly uniformly differentiable functions

Mathematics Subject Classification ID

Derivatives of functions in infinite-dimensional spaces (46G05) Rings and algebras of continuous, differentiable or analytic functions (46E25) Calculus of functions on infinite-dimensional spaces (26E15)

Related Items (2)

Weak compactness in spaces of differentiable mappings ⋮ LINEAR MAPPINGS THAT PRESERVE THE DERIVATIONAL STRUCTURE OF C*-ALGEBRAS

Cites Work

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• Fonctions composees différentiables
• Homomorphisms between algebras of differentiable functions in infinite dimensions
• Differential calculus in locally convex spaces
• Differential calculus in topological linear spaces

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