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
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