Search Results - "Ryan, Raymond A"

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  1. 1

    Orthogonally additive sums of powers of linear functionals by Boyd, Christopher, Ryan, Raymond A., Snigireva, Nina

    Published in Archiv der Mathematik (01-03-2022)
    “…Let E be a vector lattice, λ 1 , λ 2 , … , λ k scalars and φ 1 , … , φ k pairwise independent regular linear functionals on E . We show that if k < m then ∑ j…”
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    Journal Article
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    Geometry of Spaces of Orthogonally Additive Polynomials on C(K) by Boyd, Christopher, Ryan, Raymond A., Snigireva, Nina

    Published in The Journal of geometric analysis (01-12-2020)
    “…We study the space of orthogonally additive n -homogeneous polynomials on C ( K ). There are two natural norms on this space. First, there is the usual…”
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    Synnatzschke’s theorem for polynomials by Boyd, Christopher, Ryan, Raymond A., Snigireva, Nina

    “…We establish a multilinear generalisation of Synnatzschke’s Theorem for regular operators on Banach lattices, with the Arens adjoint taking the place of the…”
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    Positive polynomials on Riesz spaces by Cruickshank, James, Loane, John, Ryan, Raymond A.

    “…We prove some properties of positive polynomial mappings between Riesz spaces, using finite difference calculus. We establish the polynomial analogue of the…”
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    Polynomials on Banach spaces with unconditional bases by GRECU, Bogdan C, RYAN, Raymond A

    “…We study the classes of homogeneous polynomials on a Banach space with unconditional Schauder basis that have unconditionally convergent monomial expansions…”
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    Geometry of Spaces of Polynomials by Ryan, Raymond A, Turett, Barry

    “…Connections between the shape of the unit ball of a Banach space and analytic properties of the Banach space have been studied for many years. In this article,…”
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    Extendibility of homogeneous polynomials on Banach spaces by Kirwan, Pádraig, Ryan, Raymond A.

    “…We study the n-homogeneous polynomials on a Banach space X that can be extended to any space containing X. We show that there is an upper bound on the norm of…”
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    Modular Metric Spaces by Abobaker, Hana, Ryan, Raymond A

    Published 23-03-2022
    “…We give a short introduction to the theory of modular metric spaces. This is a corrected version of the paper [1], which had some errors. We are grateful to V…”
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    Holomorphic functions on complex Banach lattices by Boyd, Christopher, Ryan, Raymond A, Snigireva, Nina

    Published 05-10-2023
    “…We introduce and study the algebraic, analytic and lattice properties of regular homogeneous polynomials and holomorphic functions on complex Banach lattices…”
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    A Nakano Carrier Theorem for Polynomials by Boyd, Christopher, Ryan, Raymond A, Snigireva, Nina

    Published 21-07-2021
    “…We use a localisation technique to study orthogonally additive polynomials on Banach lattices. We derive alternative characterisations for orthogonal…”
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  13. 13

    Geometry of Spaces of Orthogonally Additive Polynomials on C(K) by Boyd, Christopher, Ryan, Raymond A, Snigireva, Nina

    Published 07-07-2018
    “…We study the space of orthogonally additive $n$-homogeneous polynomials on $C(K)$. There are two natural norms on this space. First, there is the usual…”
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  14. 14

    AN INTEGRAL DUALITY FORMULA by GRECU, BOGDAN C., RYAN, RAYMOND A.

    Published in Mathematica scandinavica (01-01-2006)
    “…We establish an integral formula for the duality between multilinear forms/homogeneous polynomials and tensor products for dual spaces with the approximation…”
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  15. 15

    Positive Polynomials on Riesz Spaces by Cruickshank, James, Loane, John, Ryan, Raymond A

    Published 17-08-2015
    “…We prove some properties of positive polynomial mappings between Riesz spaces, using finite difference calculus. We establish the polynomial analogue of the…”
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    Journal Article
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    Holomorphic Mappings on $l_1 by Ryan, Raymond A.

    “…We describe the holomorphic mappings of bounded type, and the arbitrary holomorphic mappings from the complex Banach space $l_1$ into a complex Banach space…”
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    Holomorphic mappings on by Ryan, Raymond A.

    “…We describe the holomorphic mappings of bounded type, and the arbitrary holomorphic mappings from the complex Banach space l 1 {l_1} into a complex Banach…”
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    Complemented Copies of C₀ in Spaces of Compact Operators by Ryan, Raymond A.

    “…We give a simple proof of a theorem of Cembranos, Saab and Saab to the effect that if X and Y are infinite dimensional Banach spaces, one of which contains a…”
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