Representations of Lattice Multimorphisms and Weak Polymorphisms

Key Points

Lattice homomorphisms serve as essential components to build nonlinear operators in vector lattices, indicating a significant finding.
Key evidence shows that these homomorphisms can generate both disjointness preserving multilinear operators and homogeneous polynomials.
This analysis focuses on investigating order bounded operators to understand their functional properties and interrelations.
Results highlight the foundational role of lattice homomorphisms, with potential applications in broader areas of functional analysis.

Abstract

The paper aims to show that lattice homomorphisms serve as building blocks for two classes of nonlinear operators acting in vector lattices, namely, order bounded disjointness preserving multilinear operators and order bounded homogeneous polynomials whose generating multilinear operators preserve disjointness.

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Cite This Study

Z. A. Kusraeva (Thu,) studied this question.

synapsesocial.com/papers/69a75e44c6e9836116a28b13 https://doi.org/https://doi.org/10.1134/s0037446626010192

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