Orthogonally additive holomorphic functions of bounded type over $C(K)$

Daniel Carando, Silvia Lassalle, Ignacio Zalduendo

It is known that all $k$-homogeneous orthogonally additive polynomials $P$ over $C(K)$ are of the form $$P(x)={\int }_K{x}^{k}d\mu .$$ Thus $x\mapsto x^k$ factors all orthogonally additi…