The Hadamard Product in the Space of Lorch Analytic Mappings

  • Luiza A. Moraes

    Universidade Federal do Rio de Janeiro, Brazil
  • Alex F. Pereira

    Universidade Federal do Rio de Janeiro, Macaé, Brazil

Abstract

For a complex Banach algebra , let be the space of the mappings from into that are analytic in the sense of Lorch, endowed with the Hadamard product and with the topology of uniform convergence on the bounded subsets of . We study topological and algebraic properties of in connection with the topological and algebraic properties of the underlying space . We also study algebraic and topological properties of the space of the sequences such that

Cite this article

Luiza A. Moraes, Alex F. Pereira, The Hadamard Product in the Space of Lorch Analytic Mappings. Publ. Res. Inst. Math. Sci. 49 (2013), no. 1, pp. 111–122

DOI 10.4171/PRIMS/98