Abstract
AbstractAn easy way to construct the representing vector measures of weakly compact operators on C(Ω) is given by using the Loeb measure technique. This construction is not based on the Riesz representation theorem for linear functionals; thus we have a uniform way to treat the scalar and vector cases. Also the star finite representations of regular vector measures follow from the proof.
Publisher
Cambridge University Press (CUP)
Reference16 articles.
1. Nonstandard Measure Theory and its Applications
2. Loeb completion of internal vector valued measures;Zivaljevic;Math. Scared.,1985
3. Weak limits of measures and the standard part map
4. A functional approach to nonstandard measure theory
5. [14] Osswald H. and Sun Y. N. . On the extensions of vector valued Loeb measures. (To appear.)
Cited by
2 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