Range of density measures

Martin Sleziak; Miloš Ziman

Displaying similar documents to “Range of density measures”

A note on strictly positive Radon measures

Grzegorz Plebanek (1996)

Colloquium Mathematicae

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On density theorems for outer measures

E. J. Mickle, T. Rado

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CONTENTSINTRODUCTION................................................................................... 3SECTION 1. Covering theorems........................................................... 5SECTION 2. Absolutely measurable sets.............................................. 8SECTION 3. Generalized spherical Hausdorff measures.................... 14SECTION 4. Density theorems for subadditive set functions............... 20SECTION 5. A density theorem for outer measures...............................

Topological spaces with the strong Skorokhod property.

Banakh, T.O., Bogachev, V.I., Kolesnikov, A.V. (2001)

Georgian Mathematical Journal

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Convergence of compound probability measures on topological spaces

Jun Kawabe (1994)

Colloquium Mathematicae

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Analysis of monotonicity properties of some rule interestingness measures

Salvatore Greco, Roman Słowiński, Izabela Szczęch (2009)

Control and Cybernetics

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Exposed points in the set of representing measures for the disc algebra

Alexander J. Izzo (1995)

Annales Polonici Mathematici

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It is shown that for each nonzero point x in the open unit disc D, there is a measure whose support is exactly ∂D ∪ {x} and that is also a weak*-exposed point in the set of representing measures for the origin on the disc algebra. This yields a negative answer to a question raised by John Ryff.

On a one-dimensional analogue of the Smale horseshoe

Ryszard Rudnicki (1991)

Annales Polonici Mathematici

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We construct a transformation T:[0,1] → [0,1] having the following properties: 1) (T,|·|) is completely mixing, where |·| is Lebesgue measure, 2) for every f∈ L¹ with ∫fdx = 1 and φ ∈ C[0,1] we have $\int φ (T^{n} x) f (x) d x \to \int φ d μ$ , where μ is the cylinder measure on the standard Cantor set, 3) if φ ∈ C[0,1] then $n^{- 1} \sum_{i = 0}^{n - 1} φ (T^{i} x) \to \int φ d μ$ for Lebesgue-a.e. x.

Sequential compactness for the weak topology of vector measures in certain nuclear spaces.

Kawabe, Jun (2001)

Georgian Mathematical Journal

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On the dual space $C_{0}^{*} (S, X)$ .

Meziani, L. (2009)

Acta Mathematica Universitatis Comenianae. New Series

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Representing measures for the disc algebra and for the ball algebra

Raymond Brummelhuis, Jan Wiegerinck (1991)

Annales Polonici Mathematici

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We consider the set of representing measures at 0 for the disc and the ball algebra. The structure of the extreme elements of these sets is investigated. We give particular attention to representing measures for the 2-ball algebra which arise by lifting representing measures for the disc algebra.