Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899931 | Journal of Mathematical Analysis and Applications | 2018 | 15 Pages |
Abstract
Classes of homogeneous polynomials between Banach spaces have been studied in the last three decades from the perspective of the stability with respect to the composition of a homogeneous polynomial with linear operators. In an attempt to explore the underlying nonlinearity in a more consistent way and to bring the subject closer to its roots in Complex Analysis - and, also, taking into account recent results in the field - in this paper we propose the study of classes of homogeneous polynomials that are stable under the composition with homogeneous polynomials.
Keywords
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Physical Sciences and Engineering
Mathematics
Analysis
Authors
Geraldo Botelho, Ewerton R. Torres,