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Abstract
The fully matricial generalization in part I, of the difference quotient derivation on holomorphic functions, in which ℂ is replaced by a Banach algebra B, is extended from the affine case to a Grassmannian completion. The infinitesimal bialgebra duality, the duality transform generalizing the Stieltjes transform and the spectral theory with non-commuting scalars all extend to this completion. The series expansions of fully matricial analytic functions are characterized, providing a new way to generate fully matricial functions.
Received: 2008-11-13
Revised: 2009-04-28
Published Online: 2010-08-11
Published in Print: 2010-August
© Walter de Gruyter Berlin · New York 2010
