On Lorentz nuclear homogeneous polynomials between Banach spaces
Vinícius Vieira Fávaro
Universidade Federal de Uberlândia, BrazilMário Carvalho Matos
IMECC - UNICAMP, Campinas, BrazilDaniel Pellegrino
Universidade Federal da Paraíba, João Pessoa, Brazil
Abstract
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.
Cite this article
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
DOI 10.4171/PM/1871