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Contemporary Mathematics. Fundamental Directions, 2022, Volume 68, Issue 3, Pages 407–423
DOI: https://doi.org/10.22363/2413-3639-2022-68-3-407-423 (Mi cmfd466) 		 
Order projection in $\mathcal{OA}_r(E,F)$

N. A. Dzhusoevaa, S. Yu. Itarovaa, M. A. Plievb

a North Ossetian State University named after K. L. Khetagurov, Vladikavkaz, Russia
b Southern Mathematical Institute of the Vladikavkaz Scientific Center of the Russian Academy of Sciences, Vladikavkaz, Russia
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DOI: https://doi.org/10.22363/2413-3639-2022-68-3-407-423
Abstract: We investigate order projections onto different bands in the space of all regular orthogonally additive operators. In particular, we obtain formulas for calculation of the order projections onto the band generated by a directed set of positive orthogonally additive operators and onto the band of all laterally continuous operators.
Funding agency Grant number
Ministry of Science and Higher Education of the Russian Federation 075-02-2022-890
Bibliographic databases:
Document Type: Article
UDC: 517.98+519.46
Language: Russian
Citation: N. A. Dzhusoeva, S. Yu. Itarova, M. A. Pliev, “Order projection in $\mathcal{OA}_r(E,F)$”, Proceedings of the Crimean autumn mathematical school-symposium, CMFD, 68, no. 3, PFUR, M., 2022, 407–423
Citation in format AMSBIB
\Bibitem{DzhItaPli22}
\by N.~A.~Dzhusoeva, S.~Yu.~Itarova, M.~A.~Pliev
\paper Order projection in $\mathcal{OA}_r(E,F)$
\inbook Proceedings of the Crimean autumn mathematical school-symposium
\serial CMFD
\yr 2022
\vol 68
\issue 3
\pages 407--423
\publ PFUR
\publaddr M.
\mathnet{http://mi.mathnet.ru/cmfd466}
\crossref{https://doi.org/10.22363/2413-3639-2022-68-3-407-423}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=4497483}
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