Email this article Sums of Order Bounded Disjointness Preserving Linear Operators
- Authors: Kusraev A.G.1, Kusraeva Z.A.2,1
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Affiliations:
- Southern Mathematical Institute
- Regional Mathematical Center of Southern Federal University
- Issue: Vol 60, No 1 (2019)
- Pages: 114-123
- Section: Article
- URL: https://journals.rcsi.science/0037-4466/article/view/172227
- DOI: https://doi.org/10.1134/S0037446619010130
- ID: 172227
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Abstract
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.
About the authors
A. G. Kusraev
Southern Mathematical Institute
Author for correspondence.
Email: kusraev@smath.ru
Russian Federation, Vladikavkaz
Z. A. Kusraeva
Regional Mathematical Center of Southern Federal University; Southern Mathematical Institute
Author for correspondence.
Email: zali13@mail.ru
Russian Federation, Rostov-on-Don; Vladikavkaz
