Displaying similar documents to “Sequential compactness for the weak topology of vector measures in certain nuclear spaces.”

Σ -convergence.

Nguetseng, Gabriel, Svanstedt, Nils (2011)

Banach Journal of Mathematical Analysis [electronic only]

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On Edmunds-Triebel spaces.

Nikolova, L., Zachariades, T. (2010)

Banach Journal of Mathematical Analysis [electronic only]

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How subadditive are subadditive capacities?

George L. O'Brien, Wim Vervaat (1994)

Commentationes Mathematicae Universitatis Carolinae

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Subadditivity of capacities is defined initially on the compact sets and need not extend to all sets. This paper explores to what extent subadditivity holds. It presents some incidental results that are valid for all subadditive capacities. The main result states that for all hull-additive capacities (a class that contains the strongly subadditive capacities) there is countable subadditivity on a class at least as large as the universally measurable sets (so larger than the analytic...

Products and projective limits of function spaces

Miroslav Kačena (2008)

Commentationes Mathematicae Universitatis Carolinae

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We introduce a notion of a product and projective limit of function spaces. We show that the Choquet boundary of the product space is the product of Choquet boundaries. Next we show that the product of simplicial spaces is simplicial. We also show that the maximal measures on the product space are exactly those with maximal projections. We show similar characterizations of the Choquet boundary and the space of maximal measures for the projective limit of function spaces under some additional...