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The Aron–Berner Extension for Polynomials Defined in the Dual of a Banach Space
Let E = F' where F is a complex Banach space and let π_1 : E'' = E \oplus F^⊥ → E be the canonical projection. Let P({}^n E) be the space of the complex valued continuous n -homogeneous polynomials defined in E . We characterize the elements P\in P({}^nE) …