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- Title
Orthogonal Additivity of a Product of Powers of Linear Operators.
- Authors
Kusraeva, Z. A.; Tamaeva, V. A.
- Abstract
In this note it is established that a finite family of positive linear operators acting from an Archimedean vector lattice into an Archimedean -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.
- Subjects
POSITIVE operators; RIESZ spaces; BANACH lattices; POLYNOMIALS; LINEAR operators
- Publication
Mathematical Notes, 2023, Vol 114, Issue 5/6, p1297
- ISSN
0001-4346
- Publication type
Article
- DOI
10.1134/S0001434623110615