منابع مشابه
On Radon measures on first-countable spaces
It is shown that every Radon measure on a first-countable Hausdorff space is separable provided ω1 is a precaliber of every measurable algebra. As the latter is implied by MA(ω1), the result answers a problem due to D. H. Fremlin. Answering the problem posed by D. H. Fremlin ([4], 32R(c)), we show in this note that, assuming (∗) ω1 is a precaliber of every measurable Boolean algebra, every Rado...
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Assuming the continuum hypothesis, we construct a universally weakly measurable function from [0,1] into a dual of some weakly compactly generated Banach space, which is not Pettis integrable. This (partially) solves a problem posed by Riddle, Saab and Uhl [13]. We prove two results related to Pettis integration in dual Banach spaces. We also contribute to the problem whether it is consistent t...
متن کاملNegligible Sets of Radon Measures
Let m be a Radon measure on a Hausdorff topological space X. Corresponding to three kinds of outer measures, three kinds of m-negligible sets are considered. The main theorem states that in a metacompact space X each locally m-negligible set is m-negligible. For a Radon measure in a HausdorfT topological space X we distinguish three kinds of negligible sets corresponding to three kinds of outer...
متن کاملSparsity Regularization for Radon Measures
In this paper we establish a regularization method for Radon measures. Motivated from sparse L regularization we introduce a new regularization functional for the Radon norm, whose properties are then analyzed. We, furthermore, show well-posedness of Radon measure based sparsity regularization. Finally we present numerical examples along with the underlying algorithmic and implementation detail...
متن کاملPredictability of radon airborne measurements based on surrogate measures
This research focuses on the evaluation of temporal and spatial variability associated with radon airborne measurements and the predictive utility of surrogate measures to estimate radon concentrations within the same environment as well as in other environments. This dissertation consists of three components. In Chapter II, “Evaluation of agreement of time-integrated basement residential radon...
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ژورنال
عنوان ژورنال: Czechoslovak Mathematical Journal
سال: 1993
ISSN: 0011-4642,1572-9141
DOI: 10.21136/cmj.1993.128375