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Matematicheskie Zametki, 2010, Volume 88, Issue 5, Pages 683–688
DOI: https://doi.org/10.4213/mzm4042 (Mi mzm4042) 		 
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
Full-text PDF (407 kB) Citations (9)
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DOI: https://doi.org/10.4213/mzm4042
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
English version:
Mathematical Notes, 2010, Volume 88, Issue 5, Pages 655–660
DOI: https://doi.org/10.1134/S0001434610110052
Bibliographic databases:
Document Type: Article
UDC: 515.12+517.98
Language: Russian
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
Citation in format AMSBIB
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    • This publication is cited in the following 9 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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