A Generalization of Beurling's Theorem and Quasi-Inner Functions
| dc.creator | Kim, Yun-Su | |
| dc.date | 2006-12-27 | |
| dc.date | 2008-01-03 | |
| dc.date.accessioned | 2026-07-07T08:52:14Z | |
| dc.date.available | 2026-07-07T08:52:14Z | |
| dc.description | We introduce two kinds of quasi-inner functions. Since every rationally invariant subspace for a shift operator $S_K$ on a vector-valued Hardy space $H^{2}(Ω,K)$ is generated by a quasi-inner function, we also provide relationships of quasi-inner functions by comparing rationally invariant subspaces generated by them. Furthermore, we discuss fundamental properties of quasi-inner functions, and quasi-inner divisors. | |
| dc.identifier | https://arxiv.org/abs/math/0612790 | |
| dc.identifier | http://arxiv.org/abs/math/0612790 | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/145210 | |
| dc.subject | Functional Analysis | |
| dc.subject | Operator Algebras | |
| dc.subject | 42B30, 42B35, 17C65 | |
| dc.title | A Generalization of Beurling's Theorem and Quasi-Inner Functions | |
| dc.type | text |