Singular unitary dilations
| dc.citation.epage | 247 | en_US |
| dc.citation.issue | 2 | en_US |
| dc.citation.spage | 231 | en_US |
| dc.citation.volume | 33 | en_US |
| dc.citation.woscount | 6 | |
| dc.contributor.author | Wu, PY | en_US |
| dc.contributor.author | Takahashi, K | en_US |
| dc.contributor.department | 應用數學系 | zh_TW |
| dc.contributor.department | Department of Applied Mathematics | en_US |
| dc.date.accessioned | 2014-12-08T15:46:55Z | |
| dc.date.available | 2014-12-08T15:46:55Z | |
| dc.date.issued | 1999-02-01 | en_US |
| dc.description.abstract | We study the problem of determining which bounded linear operator on a Hilbert space can be dilated to a singular unitary operator. Same of the partial results we obtained are (1) every strict contraction has a diagonal unitary dilation, (2) every C-0 contraction has a singular unitary dilation, and (3) a contraction with one of its defect indices finite has a singular unitary dilation if and only if it is the direct sum of a singular unitary operator and a C-0(N) contraction. Such results display a scenario which is in marked contrast to that of the classical case where we have the absolute continuity of the minimal unitary power dilation of any completely nonunitary contraction. | en_US |
| dc.identifier.issn | 0378-620X | en_US |
| dc.identifier.journal | INTEGRAL EQUATIONS AND OPERATOR THEORY | en_US |
| dc.identifier.uri | https://ir.lib.nycu.edu.tw/handle/11536/31539 | |
| dc.identifier.wosnumber | WOS:000078841100007 | |
| dc.language.iso | en_US | en_US |
| dc.title | Singular unitary dilations | en_US |
| dc.type | Article | en_US |