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Regularity and Algebras of Analytic Functions in Infinite Dimensions |
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| Authors: | R. M. Aron P. Galindo D. Garcí a M. Maestre |
| Affiliation: | Department of Mathematics, Kent State University, Kent, Ohio 44242 ; Departamento de Análisis Matemático, Universidad de Valencia, Doctor Moliner 50, 46100 Burjasot (Valencia), Spain |
| Abstract: | A Banach space  is known to be Arens regular if every continuous linear mapping from  to  is weakly compact. Let  be an open subset of  , and let  denote the algebra of analytic functions on  which are bounded on bounded subsets of  lying at a positive distance from the boundary of  We endow  with the usual Fréchet topology.  denotes the set of continuous homomorphisms  . We study the relation between the Arens regularity of the space  and the structure of  . |
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