Full paper in PDF:
$%C. Boyd, Distinguished preduals of spaces of holomorphic functions, Rev. Mat. Univ. Complut. Madrid 6 (1993), no. 2, 221231.%$

Distinguished Preduals of Spaces of Holomorphic Functions
Christopher BOYD
Department of Mathematics
University College Dublin
Belfield, Dublin 4 Ireland

Received: October 27, 1992
Revised: January 29, 1993

For U  open in a locally convex space E  it is shown in Mújica and Nachbin (1992) that there is a complete locally convex space G(U)  such that G(U)'i = (H(U),td)  . We will show that when U  is balanced there is an S -absolute decomposition for G(U)  in terms of the preduals of the spaces of homogeneous polynomials. For U  balanced open in a Fréchet space we investigate necessary and sufficient conditions for (H(U),td)  to be equal to     '
G(U)b  .

1991 Mathematics Subject Classification: 46G20.