C. Boyd

will speak on

Orthogonally Additive Sums of Powers of Linear Functionals

Time: 3:00PM
Date: Tue 1st March 2022
Location: Seminar Room SCN 1.25 [map]

Further information

Abstract: An $m$-homogeneous polynomial $P$ on a vector lattice is said to be orthogonally additive if $P(x+y)=P(x)+P(y)$ whenever $x$ and $y$ are disjoint. In this talk we will characterise when a sum of powers of linear functions, $\sum_{j=1}^k\varphi_j^m$, is orthogonally additive in terms of the lattice properites of
the $\varphi_j$ and relationship between $k$ and $m$.

https://ucd-ie.zoom.us/j/69066706410

These results is part of joint work Ray Ryan and Nina Snigireva.

(This talk is part of the Analysis series.)

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