Search Results - "Ryan, Raymond A"
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Orthogonally additive sums of powers of linear functionals
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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Geometry of Spaces of Orthogonally Additive Polynomials on C(K)
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
Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01-02-2021)“…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
Published in Positivity : an international journal devoted to the theory and applications of positivity in analysis (01-09-2017)“…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
Published in Proceedings of the American Mathematical Society (01-04-2005)“…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
Published in Journal of mathematical analysis and applications (15-05-1998)“…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
Published in Proceedings of the American Mathematical Society (01-04-1998)“…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
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
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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Weakly compact holomorphic mappings on Banach spaces
Published in Pacific journal of mathematics (01-01-1988)Get full text
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A Nakano Carrier Theorem for Polynomials
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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Geometry of Spaces of Orthogonally Additive Polynomials on C(K)
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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AN INTEGRAL DUALITY FORMULA
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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Positive Polynomials on Riesz Spaces
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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Tensor products of direct sums
Published in Arkiv för matematik (01-04-2005)Get full text
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Holomorphic Mappings on $l_1
Published in Transactions of the American Mathematical Society (01-08-1987)“…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
Published in Transactions of the American Mathematical Society (01-01-1987)“…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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APPLICATIONS OF ULTRAPRODUCTS TO INFINITE DIMENSIONAL HOLOMORPHY
Published in Mathematica scandinavica (01-01-1992)Get full text
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Complemented Copies of C₀ in Spaces of Compact Operators
Published in Proceedings of the Royal Irish Academy. Section A: Mathematical and Physical Sciences (01-01-1991)“…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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