Geodesic
Orthogonal Additivity of a Product of Powers of Linear Operators
Matematičeskie zametki, Tome 114 (2023) no. 6, pp. 863-872.

Voir la notice de l'article provenant de la source Math-Net.Ru

In this note it is established that a finite family of positive linear operators acting from an Archimedean vector lattice into an Archimedean $f$-algebra with unit is disjointness preserving if and only if the polynomial presented in the form of the product of powers of these operators is orthogonally additive. A similar statement is established for the sum of polynomials represented as products of powers of positive operators.
Mots-clés : polynomial
Keywords: orthogonal additivity, linear functional, vector lattice, disjointness preserving. 
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Z. A. Kusraeva; V. A. Tamaeva. Orthogonal Additivity of a Product of Powers of Linear Operators. Matematičeskie zametki, Tome 114 (2023) no. 6, pp. 863-872. http://geodesic.mathdoc.fr/item/MZM_2023_114_6_a5/

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