Advances in Operator Theory
- Adv. Oper. Theory
- Volume 4, Number 2 (2019), 428-446.
Monomial decomposition of homogeneous polynomials in vector lattices
The paper is devoted to the characterization and weighted shift representation of regular homogeneous polynomials between vector lattices admitting a decomposition into a sum of monomials in lattice homomorphisms. The main tool is the factorization theorem for order bounded disjointness preserving multilinear operators obtained earlier by the authors.
Adv. Oper. Theory, Volume 4, Number 2 (2019), 428-446.
Received: 4 July 2018
Accepted: 26 September 2018
First available in Project Euclid: 1 December 2018
Permanent link to this document
Digital Object Identifier
Mathematical Reviews number (MathSciNet)
Zentralblatt MATH identifier
Primary: 47H60: Multilinear and polynomial operators [See also 46G25]
Secondary: 46G25 47A40
Kusraev, Anatoly G.; Kusraeva, Zalina A. Monomial decomposition of homogeneous polynomials in vector lattices. Adv. Oper. Theory 4 (2019), no. 2, 428--446. doi:10.15352/aot.1807-1394. https://projecteuclid.org/euclid.aot/1543633236