Advances in Operator Theory

Monomial decomposition of homogeneous polynomials in vector lattices

Anatoly G‎. ‎Kusraev and Zalina A‎. ‎Kusraeva

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Abstract

‎ ‎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.

Article information

Source
Adv. Oper. Theory, Volume 4, Number 2 (2019), 428-446.

Dates
Received: 4 July 2018
Accepted: 26 September 2018
First available in Project Euclid: 1 December 2018

Permanent link to this document
https://projecteuclid.org/euclid.aot/1543633236

Digital Object Identifier
doi:10.15352/aot.1807-1394

Mathematical Reviews number (MathSciNet)
MR3883145

Zentralblatt MATH identifier
07009318

Subjects
Primary: 47H60: Multilinear and polynomial operators [See also 46G25]
Secondary: 46G25‎ ‎47A40

Keywords
vector lattice‎ ‎multilinear operator‎ ‎‎homogeneous polynomial‎ ‎ ‎factorization

Citation

‎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


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