Abstract
In (1) a representation theorem was proved for a class of additive functionals defined on the continuous real-valued functions with domain S = [0, 1]. The theorem was extended to the case where S is an arbitrary compact metric space in (3). Our present purpose is to consider the corresponding class of additive functionals defined on Lp spaces, p > 0. In (4) Martin and Mizel have considered functionals defined on the class of bounded measurable functions which, however, satisfy a certain “stochastic” condition which we do not require.
Publisher
Canadian Mathematical Society
Cited by
19 articles.
订阅此论文施引文献
订阅此论文施引文献,注册后可以免费订阅5篇论文的施引文献,订阅后可以查看论文全部施引文献
1. A simplified approach to subjective expected utility;Journal of Mathematical Economics;2020-03
2. Valuations on Banach Lattices;International Mathematics Research Notices;2018-06-14
3. Characterization of dual mixed volumes via polymeasures;Journal of Mathematical Analysis and Applications;2015-06
4. Orthogonalities and functional equations;Aequationes mathematicae;2014-09-25
5. ORTHOGONALLY ADDITIVE POLYNOMIALS ON C*-ALGEBRAS;The Quarterly Journal of Mathematics;2007-12-04