# Orthogonally additive polynomials on Fourier algebras

@article{Alaminos2015OrthogonallyAP, title={Orthogonally additive polynomials on Fourier algebras}, author={Jer{\'o}nimo Alaminos and J. Extremera and A. R. Villena}, journal={Journal of Mathematical Analysis and Applications}, year={2015}, volume={422}, pages={72-83} }

## 7 Citations

Orthogonally additive polynomials on the algebras of approximable operators

- Mathematics
- 2018

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…

Orthogonally Additive Polynomials and Orthosymmetric Maps in Banach Algebras with Properties 𝔸 and 𝔹

- MathematicsProceedings of the Edinburgh Mathematical Society
- 2015

Abstract This paper considers Banach algebras with properties 𝔸 or 𝔹, introduced recently by Alaminos et al. The class of Banach algebras satisfying either of these two properties is quite large;…

Orthogonally additive polynomials on convolution algebras associated with a compact group

- MathematicsJournal of Mathematical Analysis and Applications
- 2019

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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