On (r; t; s)-nuclear polynomials

Bougoutaia Amar,Belacel Amar,Hamdi Halima

Moroccan Journal of Pure and Applied Analysis（2022）

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摘要

In this work we extend the concept of (r; t; s)-nuclear operators presented by Lapresté in (Studia math., T. LVII. 1976, 47 – 83) to n-homogeneous polynomials. Factorization and inclusion properties are described. Under some conditions, we also characterize the topological dual of the studied space.

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关键词

nuclear operator,homogeneous polynomial,ideal of polynomials,46g25,46b28

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