Isomorphic copies of ℓ₁ for m-homogeneous non-analytic Bohnenblust-Hille polynomials

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• 作者：J. Alberto Conejero ; Juan B. Seoane-Sepú ; lveda and Pablo Sevilla-Peris
• 刊名：Mathematische Nachrichten
• 出版年：2017
• 出版时间：February 2017
• 年：2017
• 卷：290
• 期：2-3
• 页码：218-225
• 全文大小：171K
• ISSN：1522-2616

文摘

We employ a classical result by Toeplitz (1913) and the seminal work by Bohnenblust and Hille on Dirichlet series (1931) to show that the set of continuous m-homogeneous non-analytic polynomials on c₀ contains an isomorphic copy of ℓ₁. Moreover, we can have this copy of ℓ₁ in such a way that every non-zero element of it fails to be analytic at precisely the same point.