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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
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.
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
Linking options:
https://www.mathnet.ru/eng/cmfd466 https://www.mathnet.ru/eng/cmfd/v68/i3/p407
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Abstract page: | 84 | Full-text PDF : | 23 | References: | 29 |
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