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arXiv:math/0003020 [math.FA]AbstractReferencesReviewsResources

Orlicz-Pettis polynomials on Banach spaces

Manuel González, Joaquín M. Gutiérrez

Published 2000-03-03Version 1

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.

Comments: 10 pages
Categories: math.FA
Subjects: 46G25, 46B20
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