BIHOLOMORPHIC MAPPINGS ON BANACH SPACES

Autor(es)

Carrion, H. ^[1] ; Galindo, P. ^[2] ; Lourenco, M. L. ^[1]

Afiliação do(s) autor(es)

^[1] Univ Sao Paulo, Dept Matemat, Inst Matemat & Estat, Caixa Postal 66281, BR-05315970 Sao Paulo - Brazil

^[2] Univ Valencia, Dept Anal Matemat, Fac Matemat, Burjasot Valencia 46100 - Spain

• Tipo de documento: Artigo Científico
• Fonte: PROCEEDINGS OF THE EDINBURGH MATHEMATICAL SOCIETY; v. 62, n. 4, p. 913-924, NOV 2019.
• Citações Web of Science: 0

Resumo

We present an infinite-dimensional version of Cartan's theorem concerning the existence of a holomorphic inverse of a given holomorphic self-map of a bounded convex open subset of a dual Banach space. No separability is assumed, contrary to previous analogous results. The main assumption is that the derivative operator is power bounded, and which we, in turn, show to be diagonalizable in some cases, like the separable Hilbert space. (AU)

• Processo FAPESP: 17/15005-9 - Conference on Non-Linear Functional Analysis Valencia 2017
• Beneficiário: Mary Lilian Lourenco
• Modalidade de apoio: Auxílio à Pesquisa - Reunião - Exterior
• Processo FAPESP: 17/26128-4 - Análise complexa em dimensão infinita
• Beneficiário: Mary Lilian Lourenco
• Modalidade de apoio: Auxílio à Pesquisa - Pesquisador Visitante - Internacional