Sums of Order Bounded Disjointness Preserving Linear Operators


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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.

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

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