The Polynomial Hyper-Borel Transform

Autor: Geraldo Botelho, Raquel Wood
Rok vydání: 2021
Předmět:
Zdroj: Bulletin of the Brazilian Mathematical Society, New Series. 53:523-539
ISSN: 1678-7714
1678-7544
DOI: 10.1007/s00574-021-00268-3
Popis: This paper develops a technique to represent linear functionals on spaces of homogeneous polynomials between Banach spaces. This technique applies to cases that are not covered by the classical polynomial Borel transform. We provide applications to represent linear functionals on spaces of approximable, compact, hyper-nuclear and hyper- $$\sigma (p)$$ -nuclear polynomials. An unexpected difference between the polynomial and multilinear theories is disclosed.
Databáze: OpenAIRE
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