Orlicz-Pettis polynomials on Banach spaces

Details Orlicz-Pettis polynomials on Banach spaces Orlicz-Pettis polynomials on Banach spaces

2000-03-03

arxiv.org/abs/math/0003020v1

Mathematics

Functional Analysis

10 pages

Scientific paper

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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