Article
Licensed
Unlicensed
Requires Authentication
Free analysis questions II: The Grassmannian completion and the series expansions at the origin
-
Dan-Virgil Voiculescu
Published/Copyright:
August 11, 2010
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
You are currently not able to access this content.
You are currently not able to access this content.
Articles in the same Issue
- La filtration de Harder-Narasimhan des schémas en groupes finis et plats
- Formules de caractères pour l'induction automorphe
- Duality theorems for slice hyperholomorphic functions
- Counting points of homogeneous varieties over finite fields
- Noncompact shrinking four solitons with nonnegative curvature
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin
Articles in the same Issue
- La filtration de Harder-Narasimhan des schémas en groupes finis et plats
- Formules de caractères pour l'induction automorphe
- Duality theorems for slice hyperholomorphic functions
- Counting points of homogeneous varieties over finite fields
- Noncompact shrinking four solitons with nonnegative curvature
- Free analysis questions II: The Grassmannian completion and the series expansions at the origin
