%0 Journal Article
%T The trace as an average over the unit sphere of a normed space with a 1-symmetric basis
%A Tomasz Kania
%A Kent E. Morrison
%J Mathematics
%D 2015
%I arXiv
%X We generalise the formula expressing the matrix trace of a given square matrix as the integral of the numerical values of $A$ over the Euclidean sphere to the unit spheres of finite-dimensional normed spaces that have a 1-symmetric basis. Our result is new even in the case of $\ell_p$-norms in $\mathbb{R}^N$ for $p\neq 2$.
%U http://arxiv.org/abs/1511.02084v1