Name
Abstract | ||
|---|---|---|
The classical Julia-Wolff-Caratheodory theorem characterizes the behaviour of the derivative of an analytic self-map of a unit disk or of a half-plane of the complex plane at certain boundary points. We prove a version of this result that applies to noncommutative self-maps of noncommutative half-planes in von Neumann algebras at points of the distinguished boundary of the domain. Our result, somewhat surprisingly, relies almost entirely on simple geometric properties of noncommutative half-planes, which are quite similar to the geometric properties of classical hyperbolic spaces, but use virtually no elements of analytic function theory in the proofs. |
Year | DOI | Venue |
|---|---|---|
2017 | 10.1112/jlms.12021 | JOURNAL OF THE LONDON MATHEMATICAL SOCIETY-SECOND SERIES |
DocType | Volume | Issue |
Journal | 95.0 | 2 |
ISSN | Citations | PageRank |
0024-6107 | 0 | 0.34 |
References | Authors | |
0 | 1 | |
Name | Order | Citations | PageRank |
|---|---|---|---|
| Serban Teodor Belinschi | 1 | 0 | 0.34 |