Homomorphisms between Algebras of Holomorphic Functions

Verónica Dimant, Domingo García, Manuel Maestre and Pablo Sevilla-Peris

Abstract and Applied Analysis, 2014, vol. 2014, 1-12

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 .

Date: 2014
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Persistent link: https://EconPapers.repec.org/RePEc:hin:jnlaaa:612304

DOI: 10.1155/2014/612304

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