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This article is cited in 9 scientific papers (total in 9 papers)
Open Mapping Theorem for Spaces of Weakly Additive Homogeneous Functionals
A. A. Zaitov Romanovskii Mathematical Institute of the National Academy of Sciences of Uzbekistan, Tashkent
Abstract:
We establish that if $X$ and $Y$ are metric compacta and $f\colon X\to Y$ is a continuous surjective mapping, then the openness of the mapping $OH(f)\colon OH(X)\to OH(Y)$ of spaces of weakly additive homogeneous functionals is equivalent to the openness of $f$.
Keywords:
open mapping theorem, metric compactum, weakly additive homogeneous functional, probability measure, topology of pointwise convergence.
Received: 29.05.2006 Revised: 21.01.2010
Citation:
A. A. Zaitov, “Open Mapping Theorem for Spaces of Weakly Additive Homogeneous Functionals”, Mat. Zametki, 88:5 (2010), 683–688; Math. Notes, 88:5 (2010), 655–660
Linking options:
https://www.mathnet.ru/eng/mzm4042https://doi.org/10.4213/mzm4042 https://www.mathnet.ru/eng/mzm/v88/i5/p683
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