The Aron-Berner extension for polynomials defined in the dual of a Banach space

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Llavona, José G. and Moraes, Luiza A. (2004) The Aron-Berner extension for polynomials defined in the dual of a Banach space. Publications of the Research Institute for Mathematical Sciences, 40 (1). pp. 221-230. ISSN 0034-5318

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Official URL: http://www.ems-ph.org/journals/show_issue.php?issn=0034-5318&vol=40&iss=1




Abstract

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.


Item Type:Article
Uncontrolled Keywords:Homogeneous polynomials; Holomorphic functions; Weak star topology.
Subjects:Sciences > Mathematics > Functional analysis and Operator theory
ID Code:15976
Deposited On:18 Jul 2012 08:49
Last Modified:27 Jul 2018 10:28

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