Factorization of Order Bounded Disjointness Preserving Multilinear Operators

Kusraev, A. G.; Kusraeva, Z. A.

doi:10.1007/978-3-030-26748-3_13

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Extensions Of Riesz Multimorphisms1

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2020

2024

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Cited by 7 publications

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“…Let ρ ∈ S m . We start with a scalar-valued Riesz multimorphism B : [17,Theorem 6] there are Riesz homomorphisms ϕ i :…”

Section: Extensions Of Riesz Multimorphismsmentioning

confidence: 99%

Bidual extensions of Riesz multimorphisms

Botelho¹,

Alberto²

2021

Preprint

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We prove that all Arens extensions of finite rank Riesz multimorphisms taking values in Archimedean Riesz spaces coincide and are Riesz multimorphisms. Partial results for arbitrary Riesz multimorphisms are obtained. We also prove that, for a class of Banach lattices F , which includes F = c 0 , ℓ p , c 0 (ℓ p ), ℓ p (c 0 ), ℓ p (ℓ s ), 1 < p, s < ∞, among many others, all Aron-Berner extensions of F -valued Riesz multimorphisms between Banach lattices are Riesz multimorphisms.

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“…Let ρ ∈ S m . We start with a scalar-valued Riesz multimorphism B : [17,Theorem 6] there are Riesz homomorphisms ϕ i :…”

Section: Extensions Of Riesz Multimorphismsmentioning

confidence: 99%