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Homomorphisms between Algebras of Holomorphic Functions

Author

Listed:
  • Verónica Dimant
  • Domingo García
  • Manuel Maestre
  • Pablo Sevilla-Peris

Abstract

For two complex Banach spaces and , in this paper, we study the generalized spectrum of all nonzero algebra homomorphisms from , the algebra of all bounded type entire functions on , into . We endow with a structure of Riemann domain over whenever is symmetrically regular. The size of the fibers is also studied. Following the philosophy of (Aron et al., 1991), this is a step to study the set of all nonzero algebra homomorphisms from into of bounded holomorphic functions on the open unit ball of and of all nonzero algebra homomorphisms from into .

Suggested Citation

  • Verónica Dimant & Domingo García & Manuel Maestre & Pablo Sevilla-Peris, 2014. "Homomorphisms between Algebras of Holomorphic Functions," Abstract and Applied Analysis, Hindawi, vol. 2014, pages 1-12, May.
    • Handle: RePEc:hin:jnlaaa:612304
    DOI: 10.1155/2014/612304
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