Theorem on the differentiability of the inverse function is false for homeomorphisms of nonnormable Fréchet spaces

DOI10.1007/BF01156827zbMath0709.46022MaRDI QIDQ921469

Yuriy I. Prostov

Publication date: 1990

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

zbMATH Keywords

bounded subsets\(\beta \) -differentiableanalytic homeomorphismlocally convex metrisable nonnormable vector space

Mathematics Subject Classification ID

Differentiation theory (Gateaux, Fréchet, etc.) on manifolds (58C20) Derivatives of functions in infinite-dimensional spaces (46G05) Bornologies and related structures; Mackey convergence, etc. (46A17)

Related Items (1)

Deterministic and stochastic differential equations in infinite- dimensional spaces

Cites Work

• The class of spaces in which the theorem on the bounded differentiability of the inverse mapping is valid
• The various definitions of the derivative in linear topological spaces
• Unnamed Item

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