Representable and Radon-Nikodým polynomials

Published in: Quaestiones Mathematicae
Volume 46 , issue 7 , 2023 , pages: 1293–1313

DOI: 10.2989/16073606.2022.2073481

Author(s): Raffaella Cilia Università di Catania, Italy , Joaquín M. Gutiérrez Universidad Politécnica de Madrid, Spain

Keywords: Primary: 46G25 , Secondary: 47B10 , 47H60 , Riesz-representable polynomials , Radon-Nikodým polynomials , L₁(µ) , unconditionally converging polynomials , Aron-Berner extension of polynomials

Every k-homogeneous (continuous) polynomial between Banach spaces admits a unique Aron-Berner extension to the biduals.

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