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In this paper we introduce the classes of Lorentz nuclear homogeneous polynomials and characterize their duals. These type of results are related to the study of convolution equations and Malgrange-type theorems on infinite-dimensional Banach spaces.
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Vinícius Vieira Fávaro, Mário Carvalho Matos, Daniel Pellegrino, On Lorentz nuclear homogeneous polynomials between Banach spaces. Port. Math. 67 (2010), no. 4, pp. 413–435