Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory, 2018, Volume 144, Pages 74–80 (Mi into274)  
Dimension of Extremal Boundary of the Space of Semiadditive Functionals

G.F.Djabbarov

Nizami Tashkent State Pedagogical University
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Abstract: In the paper, the extremal boundary of the space of weakly additive, order-preserving, normalized, positive-homogeneous, and semiadditive functionals on a compact set is studied. The dimension of the extremal boundary of the convex compact $OS(\mathbf{n})$ is found.
Keywords: weakly additive functional, dimension, functor.
English version:
Journal of Mathematical Sciences, 2020, Volume 245, Issue 3, Pages 368–374
DOI: https://doi.org/10.1007/s10958-020-04698-0
Bibliographic databases:
Document Type: Article
UDC: 515.142.275
MSC: Primary 54F15; Secondary 54F45
Language: Russian
Citation: G.F.Djabbarov, “Dimension of Extremal Boundary of the Space of Semiadditive Functionals”, Proceedings of the International Conference «Problems of Modern Topology and its Applications», Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz., 144, VINITI, M., 2018, 74–80; Journal of Mathematical Sciences, 245:3 (2020), 368–374
Citation in format AMSBIB
\Bibitem{Dja18}
\by G.F.Djabbarov
\paper Dimension of Extremal Boundary of the Space of Semiadditive Functionals
\inbook Proceedings of the International Conference «Problems of Modern Topology and its Applications»
\serial Itogi Nauki i Tekhniki. Sovrem. Mat. Pril. Temat. Obz.
\yr 2018
\vol 144
\pages 74--80
\publ VINITI
\publaddr M.
\mathnet{http://mi.mathnet.ru/into274}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=3829873}
\zmath{https://zbmath.org/?q=an:1462.46023}
\transl
\jour Journal of Mathematical Sciences
\yr 2020
\vol 245
\issue 3
\pages 368--374
\crossref{https://doi.org/10.1007/s10958-020-04698-0}
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    		Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory Itogi Nauki i Tekhniki. Sovremennaya Matematika i ee Prilozheniya. Tematicheskie Obzory
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