Document Type

Research

Abstract

In some work with systems of ordinary differential equations, a certain compact convex subset of a Banach space of vector-valued functions continuous on the real closed interval [0,l] was introduced [l]. The topology in this Banach space is induced by the supremum norm, while the norm used in the n-dimensional vector space of function values is arbitrary. It is observed in this note that all functions of this class have the same norm, a linear function on the set [0,l]. However, the nature of this subset depends rather markedly on the type of vector norm used.

Publication Date

1962

Journal Title

Proceedings of the Iowa Academy of Science

Volume

Issue

First Page

442

Last Page

443

Copyright

Language

File Format

application/pdf

Recommended Citation

Seifert, George (1962) "A Class of Vector Functions with Linear Norms," Proceedings of the Iowa Academy of Science, 69(1), 442-443.
Available at: https://scholarworks.uni.edu/pias/vol69/iss1/68

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A Class of Vector Functions with Linear Norms

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