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RESEARCH PRODUCT
Homomorphisms between Algebras of Holomorphic Functions
Verónica DimantDomingo GarcíaManuel MaestrePablo Sevilla-perissubject
Pure mathematicsArticle SubjectMatemáticasEntire functionBanach spaceHolomorphic functionAlgebra homomorphismsPolynomialsBounded typeMatemática Pura//purl.org/becyt/ford/1 [https]Holomorphic functionsSpectrumAnalytic functionsBall (mathematics)MathematicsDiscrete mathematicsStatistics::ApplicationsApplied Mathematicslcsh:Mathematics//purl.org/becyt/ford/1.1 [https]TheoremSpectraMappingslcsh:QA1-939Banach spacesBounded functionCondensed Matter::Strongly Correlated ElectronsHomomorphismMATEMATICA APLICADACIENCIAS NATURALES Y EXACTASAnalysisContinuityAnalytic functiondescription
For two complex Banach spaces X and Y, in this paper, we study the generalized spectrum M-b(X,Y) of all nonzero algebra homomorphisms from H-b(X), the algebra of all bounded type entire functions on X into H-b(Y). We endow M-b(X,Y) with a structure of Riemann domain over L(X*,Y*) 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 M-b,M-infinity (X,B-Y) of all nonzero algebra homomorphisms from Hb(b) (X) into H-infinity (B-Y) of bounded holomorphic functions on the open unit ball of Y and M-infinity(B-X,B-Y) of all nonzero algebra homomorphisms from H-infinity(B-X) into H infinity (B-Y).
| year | journal | country | edition | language |
|---|---|---|---|---|
| 2014-05-01 | Abstract and Applied Analysis |