Chain rule and its inverse for maps of locally convex spaces

DOI10.1007/BF01158713zbMath0682.46030OpenAlexW2003232324MaRDI QIDQ1824160

S. G. Lobanov

Publication date: 1989

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

Full work available at URL: https://doi.org/10.1007/bf01158713

zbMATH Keywords

differentiabilitybornologychain rule for Fréchet derivatives in Banach spaces and its inversiondifferentiability in locally convex spaces

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Barrelled spaces, bornological spaces (46A08) Derivatives of functions in infinite-dimensional spaces (46G05)

Cites Work

• Sufficient conditions for the differentiability of mappings of locally convex spaces
• A Characterization of Smooth Functions Defined on a Banach Space
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