Rolle's Theorem Fails in l 2

DOI10.2307/2975112zbMath0888.46017OpenAlexW4247006776MaRDI QIDQ4882662

Jesús Ferrer

Publication date: 21 May 1998

Published in: The American Mathematical Monthly (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.2307/2975112

zbMATH Keywords

Rolle's theorem

Mathematics Subject Classification ID

Banach sequence spaces (46B45) Continuity and differentiation questions (26B05) Derivatives of functions in infinite-dimensional spaces (46G05)

Related Items (7)

Unnamed Item ⋮ Rolle's theorem and negligibility of points in infinite dimensional Banach spaces ⋮ Approximate Rolle's theorems for the proximal subgradient and the generalized gradient. ⋮ Lineability, differentiable functions and special derivatives ⋮ The failure of Rolle's theorem in infinite-dimensional Banach spaces ⋮ Duality inequalities and sandwiched functions ⋮ Rolle's theorem for polynomials of degree four in a Hilbert space.

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