Sums of Order Bounded Disjointness Preserving Linear Operators
- Autores: Kusraev A.1, Kusraeva Z.2,1
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Afiliações:
- Southern Mathematical Institute
- Regional Mathematical Center of Southern Federal University
- Edição: Volume 60, Nº 1 (2019)
- Páginas: 114-123
- Seção: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172227
- DOI: https://doi.org/10.1134/S0037446619010130
- ID: 172227
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Resumo
Necessary and sufficient conditions are found under which the sum of N order bounded disjointness preserving operators is n-disjoint with n and N naturals. It is shown that the decomposition of an order bounded n-disjoint operator into a sum of disjointness preserving operators is unique up to “Boolean permutation,” the meaning of which is clarified in the course of the presentation.
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Sobre autores
A. Kusraev
Southern Mathematical Institute
Autor responsável pela correspondência
Email: kusraev@smath.ru
Rússia, Vladikavkaz
Z. Kusraeva
Regional Mathematical Center of Southern Federal University; Southern Mathematical Institute
Autor responsável pela correspondência
Email: zali13@mail.ru
Rússia, Rostov-on-Don; Vladikavkaz