MATHEMATICAL analysisIn this paper, we propose a new limiting form of the Radon–Nikodym property for the Bochner integral. We prove that the limiting form holds for an arbitrary Frechet space as opposed to an ordinary Radon–Nikodym property. We consider some applications in linear and nonlinear...
This allows the introduction of the Radon-Nikodym property for dilatation structures, which is the straightforward generalization of the Radon-Nikodym property for Banach spaces. After an introducting section about length metric spaces and metric derivatives, is proved that for a dilatation structure ...
Lewis-Radon-Nikodym propertyThe Radon-Nikodym property and the Lewis-Radon-Nikodym property for tensor norms are introduced and discussed. In particular, it is shown that the Hilbertian tensor norm It introduced in [6, Section 3] has the Lewis-Radon-Nikodym property but does not have the ...
Marraffa V., On almost sure convergence of amarts and martingales without the Radon- Nikodym property, Journal of Theoret. Probab 1 (1988), 255-261.Marraffa V., On almost sure convergence of amarts and martingales without the Radon- Nikodym Property, J. Theoretical Prob. 3 (1988), 255...
(WenzhouTeacher‟scollege,Wenzhou325003) Abstract Inthispaper.weestabtishedVitali—Hahn—SakstheoremonRadon—Niko dymderivativeofvector ITleEtsUres. KeywordsRadon-Nikodymproperty.Radon—Nikodymderivative?Vitali —Hahn—Sakstheurem MR1991SubleetClasslftcation46G....
It is proved that the Lebesgue-Bochner function spaces L p( E, λ), 1 < p < ∞, have the Radon-Nikodym property if and only if E has the same property. This solves an unsolved problem of Davies, Diestel and Leonard.doi:10.1016/0022-1236(77)90058-1Kondagunta Sundaresan...
A Banach space Y is said to have the Radon–Nikodym property if the generalization of the Radon–Nikodym theorem also holds, mutatis mutandis, for functions with values in Y. All Hilbert spaces have the Radon–Nikodym property. 1. Formal description ...
(b) The theorem remains valid for vector-valued measures m:Σ→ E with finite variation |m|, provided that the space E has the Radon-Nikodým property (RNP). A Banach space E has the RNP, if for every finite measure space (S, Σ, µ) and every σ-additive measure m:Σ→ E ...
3) The partial Radon-Nikodym property 偏Radon-Nikodym性质 4) Radon-Nikodym theorem Radon-Nikodym定理 1. The general notion of signed fuzzy measure is introduced,and theRadon-Nikodym theoremof order continuous σ-finite signed fuzzy measure is proved. ...
1) Radon Nikodym Property(RNP) 随机向量函数的特征函数2) functions of random vector 随机向量的函数 例句>> 3) eigenvector function 特征向量函数 1. The singular distributed parameter system can be converted to a singular system by using the eigenvector function method. 首次研究了广义分布参数...