4 papers
The polynomial cluster value problem for Banach spaces
Sofia Ortega Castillo, Isidro Humberto Munive Lima
We reduce the polynomial cluster value problem for the algebra of bounded analytic functions, , on the ball of Banach spaces to the same polynomial cluster value pr…
The polynomial cluster value problem
Sofía Ortega Castillo, Ángeles Prieto
The polynomial cluster value problem replaces the role of the continuous linear functionals in the original cluster value problem for the continuous polynomials to describe the cor…
The cluster value problem for Banach spaces
William B. Johnson, Sofia Ortega Castillo
The main result is that the cluster value problem in separable Banach spaces, for the Banach algebras and , can be reduced to the cluster value problem in those s…
The cluster value problem in spaces of continuous functions
William B. Johnson, Sofia Ortega Castillo
We study the cluster value problem for certain Banach algebras of holomorphic functions defined on the unit ball of a complex Banach space X. The main results are for spaces of the…