(1) University College, Dublin, Belfield, Dublin 4, Ireland;(2) University of North Carolina at Chapel Hill, 27514 Chapel Hill, NC, USA;(3) Present address: School of Mathematics, 39, Trinity College, Dublin 2, Ireland
Abstract:
Every bounded domain in a complex Banach spaceE is biholomorphically equivalent to a finite product of irreducibles if and only ifE does not containc0. A quantitative version of this holds if and only ifE has finite cotype.