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Orlicz-Pettis polynomials on Banach spaces

Manuel González·Joaquín M. Gutiérrez
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Abstract

We introduce the class of Orlicz-Pettis polynomials between Banach spaces, defined by their action on weakly unconditionally Cauchy series. We give a number of equivalent definitions, examples and counterexamples which highlight the differences between these polynomials and the corresponding linear operators.

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Manuel González, Joaquín M. Gutiérrez. 2000-03-03. Orlicz-Pettis polynomials on Banach spaces. https://arxiv.org/abs/math/0003020

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