Some aspects of multiorthomorphisms on Riesz spaces

Abderraouf Dorai; Elmiloud Chil

doi:10.36045/j.bbms.191104

Abstract

We study multiorthomorphisms on Riesz spaces. As an application, we introduce and we describe a new class of order bounded orthogonally additive homogeneous polynomials.

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Abderraouf Dorai. Elmiloud Chil. "Some aspects of multiorthomorphisms on Riesz spaces." Bull. Belg. Math. Soc. Simon Stevin 27 (4) 609 - 626, november 2020. https://doi.org/10.36045/j.bbms.191104

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Published: november 2020

First available in Project Euclid: 20 November 2020

MathSciNet: MR4177397

Digital Object Identifier: 10.36045/j.bbms.191104

Subjects:

Primary: 06F25 , 46G25 , 47B65

Keywords: $f$-algebra , Mutiorthomorphism , Order ideal , Orthogonally additive homogeneous polynomial , Orthomorphism , Orthosymmetric , Polyorthomorphism , Riesz space , Ring ideal

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