Radon–Nikodym theorem

Known as: Radon-Nikodym, Radon-Nikodym Theorem, Radon Nikodym 
In mathematics, the Radon–Nikodym theorem is a result in measure theory which states that, given a measurable space , if a σ-finite measure on is… (More)
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ConvolutionHilbert spaceInformation theory and measure theoryKullback–Leibler divergence
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Papers overview

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2013
2013
RADON-NIKODYM THEOREM WITH DANIELL SCHEME
We give a new formulation of the Radon-Nikodym density based on Daniell scheme. Our main result is applicable to arbitrary… (More)
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2010
2010
A REFORMULATION OF THE RADON-NIKODYM THEOREM
The Radon-Nikodym theorems of Segal and Zaanen are principally concerned with the classification of those measures p. for which… (More)
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2010
2010
Radon-Nikodym theorem in signed Loeb space
This paper gives the Radon-Nikodym theorem in signed Loeb space under ℵ1-saturated nonstandard model. First, the nonstandard… (More)
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2010
2010
THE RADON-NIKODYM THEOREM FOR THE BOCHNER INTEGRAL
Main Theorem. Let (X, S, p) be a o-finite positive measure space and let B be a Banach space. Let m be a B-valued measure on S… (More)
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2010
2010
ON THE RADON-NIKODYM THEOREM AND LOCALLY CONVEX SPACES WITH THE RADON-NIKODYM
Let F be a quasi-complete locally convex space, (fi, 2, ¡i) a complete probability space, and L\¡i; F) the space of all strongly… (More)
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2010
2010
A RADON-NIKODYM THEOREM FOR STONE ALGEBRA VALUED MEASURES
Introduction. Let C(S) be the ring of continuous real valued functions on a compact Hausdorff space S. Stone [5] shows that each… (More)
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2006
2006
New versions of the Radon-Nikodým theorem
On the basis of recent developments in measure theory the present note obtains a few new versions of the classical Radon-Nikodým… (More)
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2006
2006
A Radon-Nikodym Theorem for Completely Positive Maps
Let A be a C*-normed algebra, and let B(h) denote the algebra of all bounded operators on a Hilbert space h. In this paper we… (More)
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2003
2003
The Radon-Nikodym Theorem for Reflexive Banach Spaces
  • El Teorema
  • 2003
In this short paper we prove the equivalence between the RadonNikodym Theorem for reflexive Banach spaces and the… (More)
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1998
1998
A Radon-Nikodym theorem for von Neumann algebras
In this paper we present a generalization of the Radon-Nikodym theorem proved by Pedersen and Takesaki in [5]. Given a normal… (More)
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