Tauberian polynomials

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• 作者：Mar¨ªa D. Acosta ; Pablo Galindo ; Luiza A. Moraes
• 关键词：Polynomial ; Polynomial-star topology ; Symmetric tensor product ; Aron&ndash ; Berner extension
• 刊名：Journal of Mathematical Analysis and Applications
• 出版年：2014
• 出版时间：15 January, 2014
• 年：2014
• 卷：409
• 期：2
• 页码：880-889
• 全文大小：419 K

文摘

In this paper we introduce and study the notion of homogeneous Tauberian polynomial, aiming at extending the concept of Tauberian operator. Such notion is characterized in terms of the polynomial topology for which we prove a Banach-Alaoglu type theorem. A?number of examples show that the behavior of Tauberian polynomials differs from that of Tauberian operators.