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JOURNALS // Zapiski Nauchnykh Seminarov POMI // Archive
Zap. Nauchn. Sem. POMI, 2004 Volume 313, Pages 131–134 (Mi znsl763)
This article is cited in 10 papers

Some properties of the functor $O_\beta$

R. B. Beshimov

Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan

Abstract: It is proved that the space $O_\beta(X)$ of weakly additive order-preserving normed functionals with compact supports is a convex subset of the space $C_p(C_b(X))$.

UDC: 517.12

Received: 04.10.2003


 English version: Journal of Mathematical Sciences (New York), 2006, 133:5, 1599–1601

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