Order projection in $\mathcal{OA}_r(E,F)$

N. A. Dzhusoeva^a, S. Yu. Itarova^a, M. A. Pliev<sup>b

a</sup> 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.

UDC: 517.98+519.46

DOI: 10.22363/2413-3639-2022-68-3-407-423

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