Article contents
Derivatives of vector-valued functions
Published online by Cambridge University Press: 26 February 2010
Extract
In all that follows, E denotes a separated locally convex space, E' its topological dual, and <x, x−> the bilinear form expressing the duality. We consider the differentiation of a function f:t → f(t) of a real variable t which takes its value in E; the domain of f will be an open interval which, without loss of generality, may be taken to be the entire real axis. There are various senses in which the derivative may or may not exist, and it is proposed to consider some relations between these senses.
- Type
- Research Article
- Information
- Copyright
- Copyright © University College London 1958
References
- 1
- Cited by