Duality results in Banach and quasi-Banach spaces of homogeneous polynomials and application

Autor(es)

Favaro, Vinicius V. ^[1] ; Pellegrino, Daniel ^[2]

Afiliação do(s) autor(es)

^[1] Univ Fed Uberlandia, Fac Matemat, BR-38400902 Uberlandia, MG - Brazil

^[2] Univ Fed Paraiba, Dept Matemat, BR-58051990 Joao Pessoa, PB - Brazil

• Tipo de documento: Artigo Científico
• Fonte: STUDIA MATHEMATICA; v. 240, n. 2, p. 123-145, 2018.
• Citações Web of Science: 1

Resumo

Spaces of homogeneous polynomials on a Banach space are frequently equipped with quasi-norms instead of norms. In this paper we extend a technique to replace the original quasi-norm by a norm in a dual preserving way, in the sense that the dual of the space with the new norm coincides with the dual of the space with the original quasi-norm. Applications to problems on the existence and approximation of solutions of convolution equations and on hypercyclic convolution operators on spaces of entire functions are provided. (AU)

• Processo FAPESP: 14/50536-7 - Espaços de funções holomorfas definidas sobre Espaços de Banach e o problema de Michael
• Beneficiário: Vinícius Vieira Fávaro
• Modalidade de apoio: Bolsas no Brasil - Pós-Doutorado