Original article
Published 2006-10-24
Keywords
- Fréchet differential,
- Banach spaces
How to Cite
Cabrales, R. C., & Rojas-Medar, M. A. (2006). Sobre la diferenciabilidad de funciones en espacios de Banach. Revista Integración, Temas De matemáticas, 24(2), 87–100. Retrieved from https://revistas.uis.edu.co/index.php/revistaintegracion/article/view/257
Abstract
A criterion for the differentiability of a function f : X → Y , where X and Y are both Banach spaces, is given. Moreover, this criterion is applied to obtain the usual rules of the differential calculus of an elementary fashion and to obtain the differentiability of some norms of classical functional spaces.
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References
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[8] S. Pinzón & M. Paredes. “La derivada de Carathédory en R2.” Revista Integración, 18 (1999), 65-98.