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Tauberian polynomials |
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| Authors: | María D Acosta Pablo Galindo Luiza A Moraes |
| Institution: | 1. Departamento de Análisis Matemático, Universidad de Granada, 18071 Granada, Spain;2. Departamento de Análisis Matemático, Universidad de Valencia, 46100 Burjasot, Valencia, Spain;3. Instituto de Matemática, Universidade Federal do Rio de Janeiro, CP 68530 - CEP 21945-970 Rio de Janeiro, RJ, Brazil |
| Abstract: | 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. |
| Keywords: | Polynomial Polynomial-star topology Symmetric tensor product Aron&ndash Berner extension |
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