On extension of continuous functions defined on a circle
β Scribed by E. P. Andriyuk
- Publisher
- Springer
- Year
- 2004
- Tongue
- English
- Weight
- 135 KB
- Volume
- 56
- Category
- Article
- ISSN
- 0041-5995
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π SIMILAR VOLUMES
Let C R (X) denote, as usual, the Banach algebra of all real valued continuous functions on a compact Hausdorff space X endowed with the supremum norm. We present an elementary proof of the following extension result for C R (X): For a given g β C R (X) with zero set Zg and for the n-tuple (f1, . .
In this paper we prove some properties of p -additive functions as well as p -additive set -valued functions. We start with some definitions. Definition 2.1. A set C β X (where X is a vector space) is said to be a convex cone if and only if C + C β C and t C β C for all t β (0, β). Definition 2.2.