Interpolation in Semigroupoid Algebras
| dc.creator | Dritschel, Michael A. | |
| dc.creator | Marcantognini, Stefania | |
| dc.creator | McCullough, Scott | |
| dc.date | 2005-07-04 | |
| dc.date | 2006-12-20 | |
| dc.date.accessioned | 2026-07-07T07:36:18Z | |
| dc.date.available | 2026-07-07T07:36:18Z | |
| dc.description | A seminal result of Agler characterizes the so-called Schur-Agler class of functions on the polydisk in terms of a unitary colligation transfer function representation. We generalize this to the unit ball of the algebra of multipliers for a family of test functions over a broad class of semigroupoids. There is then an associated interpolation theorem. Besides leading to solutions of the familiar Nevanlinna-Pick and Caratheodory-Fejer interpolation problems and their multivariable commutative and noncommutative generalizations, this approach also covers more exotic examples. | |
| dc.description | 33 pages. Updated references and corrected typos. To appear in Journal fur die reine und angewandte Mathematik | |
| dc.identifier | https://arxiv.org/abs/math/0507083 | |
| dc.identifier | http://arxiv.org/abs/math/0507083 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/120380 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 47A57 (Primary), 47L55, 47L75, 47D25, 47A13, 47B38, 46E22 (Secondary) | |
| dc.title | Interpolation in Semigroupoid Algebras | |
| dc.type | text |