Orthogonally additive polynomials on the bidual of Banach algebras

Aminallah Khosravi, Hamid Reza Ebrahimi Vishki, Ramin Faal

We say that a Banach algebra A has $k$-orthogonally additive property ($k$-OA property, for short) if every orthogonally additive k-homogeneous polynomial $P:\mathcal{A}\to \mathbb…