C. Boyd

activity

20152025

collaborators

6 papers

math.FA2025

Lattice isomorphic Banach lattices of polynomials

Christopher Boyd, Vinícius Miranda

We study Díaz-Dineen's problem for regular homogeneous vector-valued polynomials. In particular, we prove that if $E^{*}$ and $F^{*}$ are lattice isomorphic with at least one having or…

math.FA2023

Holomorphic functions on complex Banach lattices

Christopher Boyd, Raymond A. Ryan, Nina Snigireva

We introduce and study the algebraic, analytic and lattice properties of regular homogeneous polynomials and holomorphic functions on complex Banach lattices. We show that the theo…

math.FA2021

Orthogonally Additive Sums of Powers of Linear Functionals

Christopher Boyd, Raymond Ryan, Nina Snigireva

Let $E$ be a Banach lattice, $λ_{1}, λ_{2}, \dots, λ_{k}$ non-zero scalars and $φ_{1}, φ_{2}, \dots, φ_{k}$ pairwise independent linear functionals on $E$ . We show that if $k < m$ then $\sum_{j=1}^k…

math.FA2021

A Nakano Carrier Theorem for Polynomials

Christopher Boyd, Raymond A. Ryan, Nina Snigireva

We use a localisation technique to study orthogonally additive polynomials on Banach lattices. We derive alternative characterisations for orthogonal additivity of polynomials and…

math.FA2018

Geometry of Spaces of Orthogonally Additive Polynomials on C(K)

Christopher Boyd, Raymond A. Ryan, Nina Snigireva

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 supremum norm of uniform con…

math.FA2015

Surjectivity of isometries of weighted spaces of holomorphic functions and of Bloch spaces

Christopher Boyd, Pilar Rueda

We examine the surjectivity of isometries between weighted spaces of holomorphic functions. We show that for certain classical weights on the open unit disc all isometries of the w…