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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

69

Issue

1

First Page

442

Last Page

443

Copyright

© Copyright 1962 by the Iowa Academy of Science, Inc.

Language

EN

File Format

application/pdf

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