# Orthogonally additive polynomials on the algebras of approximable operators

@article{Alaminos2018OrthogonallyAP, title={Orthogonally additive polynomials on the algebras of approximable operators}, author={Jer{\'o}nimo Alaminos and M. L. C. Godoy and A. R. Villena}, journal={Linear and Multilinear Algebra}, year={2018}, volume={67}, pages={1922 - 1936} }

Abstract Let X and Y be Banach spaces, let stands for the algebra of approximable operators on X, and let be an orthogonally additive, continuous n-homogeneous polynomial. If has the bounded approximation property, then we show that there exists a unique continuous linear map such that for each .

## 2 Citations

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

- MathematicsRevista Matemática Complutense
- 2019

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 $L^p(\mathcal{M},\tau)$, with…

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