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Dilations of Hilbert–Schmidt Class Operator-Valued Measures and Applications
| Content Provider | Scilit |
|---|---|
| Author | Kakihara, Yûichirô |
| Copyright Year | 2020 |
| Description | The space of Hilbert-Schmidt class operators has a gramian structure, i.e., a trace class operator valued inner product. A gramian orthogonally scattered dilation of a Hilbert-Schmidt class operator valued measure is considered. Several new characterizations of it are given. An application to Hilbert space valued second order stochastic processes is made, where some equivalence conditions are given for a process to have an operator stationary dilation. Book Name: stochastic processes and functional analysis |
| Related Links | https://content.taylorfrancis.com/books/download?dac=C2009-0-11244-9&isbn=9781003067597&doi=10.1201/9781003067597-10&format=pdf |
| Ending Page | 135 |
| Page Count | 13 |
| Starting Page | 123 |
| DOI | 10.1201/9781003067597-10 |
| Language | English |
| Publisher | Informa UK Limited |
| Publisher Date | 2020-09-23 |
| Access Restriction | Open |
| Subject Keyword | Book Name: Stochastic Processes and Functional Analysis Mathematical Physics Hilbert Structure Operator Valued Schmidt Class Class Operator Gramian Dilation Stochastic |
| Content Type | Text |
| Resource Type | Chapter |