A generalization of l'Hôpital's rule via absolute continuity and Banach modules

zbMath0808.26009MaRDI QIDQ1308860

Marco Vianello

Publication date: 9 March 1995

Published in: Real Analysis Exchange (Search for Journal in Brave)

zbMATH Keywords

Banach moduleabsolutely continuous functionscomplex Banach algebral'Hôpital's rule

Mathematics Subject Classification ID

Differentiation (real functions of one variable): general theory, generalized derivatives, mean value theorems (26A24) Normed modules and Banach modules, topological modules (if not placed in 13-XX or 16-XX) (46H25) Absolutely continuous real functions in one variable (26A46) Calculus of functions taking values in infinite-dimensional spaces (26E20)

Related Items (3)

Peano's kernel theoremfor vector-valued functions:a weak version in normed spaces* ⋮ WKB-type approximations for second-order differential equations in $C*$-algebras ⋮ A proof of the L'Hôpital's rule

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