The Aron–Berner Extension for Polynomials Deﬁned in the Dual of a Banach Space | Zendy

José G. Llavona | Zendy; Luiza A. Moraes | Zendy

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The Aron–Berner Extension for Polynomials Deﬁned in the Dual of a Banach Space

Author(s) -

José G. Llavona,

Luiza A. Moraes

Publication year - 2004

Publication title -

publications of the research institute for mathematical sciences

Language(s) - English

Resource type - Journals

eISSN - 1663-4926

pISSN - 0034-5318

DOI - 10.2977/prims/1145475970

Subject(s) - mathematics , extension (predicate logic) , dual (grammatical number) , pure mathematics , banach space , art , literature , computer science , programming language

Let E = F' where F is a complex Banach space and let pi(1) : E" - E circle plus F-perpendicular to --> E be the canonical projection. Let P(E-n) be the space of the complex valued continuous n-homogeneous polynomials defined in E. We characterize the elements P is an element of P(E-n) whose Aron-Berner extension coincides with P circle pi(1). The case of weakly continuous polynomials is considered. Finally we also study the same problem for holomorphic functions of bounded type

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