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math.FA2021
Orthogonally Additive Sums of Powers of Linear Functionals
Christopher Boyd, Raymond Ryan, Nina Snigireva
Let be a Banach lattice, non-zero scalars and pairwise independent linear functionals on . We show that if 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…