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 .
Verónica Dimant. Domingo García. Manuel Maestre. Pablo Sevilla-Peris. "Homomorphisms between Algebras of Holomorphic Functions." Abstr. Appl. Anal. 2014 (SI20) 1 - 12, 2014. https://doi.org/10.1155/2014/612304