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A Lifting Theorem and Analytic Operator Algebras
| Content Provider | Scilit |
|---|---|
| Author | Nakazi, Takahiko |
| Copyright Year | 1988 |
| Description | Let be a complex Hilbert space and a closed subspace. It is shown that if a selfadjoint operator matrix with positive diagonals on is positive on , then there exists a operator matrix with the same diagonals such that is positive on and is the restriction of to . When is in a von Neumann algebra, we consider the problems of finding in the same algebra. This lifting theorem has applications to weighted norm inequalities for conjugation operators on analytic operator algebras. |
| Related Links | http://www.ams.org/proc/1988-104-04/S0002-9939-1988-0969049-9/S0002-9939-1988-0969049-9.pdf |
| Ending Page | 1085 |
| Page Count | 5 |
| Starting Page | 1081 |
| ISSN | 00029939 |
| e-ISSN | 10886826 |
| DOI | 10.2307/2047595 |
| Journal | Proceedings of the American Mathematical Society |
| Issue Number | 4 |
| Volume Number | 104 |
| Language | English |
| Publisher | Duke University Press |
| Access Restriction | Open |
| Subject Keyword | Logic Mathematical Physics Lifting Theorem Theorem and Analytic Analytic Operator Algebras |
| Content Type | Text |
| Resource Type | Article |
| Subject | Applied Mathematics |