R. Ryan

collaborators

3 papers

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…