Orthogonally additive polynomials on non-commutative $L^p$-spaces

J. Alaminos, M. L. C. Godoy, A. R. Villena

Let $\mathcal{M}$ be a von Neumann algebra with a normal semifinite faithful trace $\tau$. We prove that every continuous $m$-homogeneous polynomial $P$ from $L^p(\mathcal{M},\tau )$, wit…