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Maximal and Tight Extensions of Positive Additive Set Functions

✍ Scribed by Zbigniew Lipecki

Publisher
John Wiley and Sons
Year
1990
Tongue
English
Weight
361 KB
Volume
146
Category
Article
ISSN
0025-584X

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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 βŠ† X (where X is a vector space) is said to be a convex cone if and only if C + C βŠ† C and t C βŠ† C for all t ∈ (0, ∞). Definition 2.2.

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