Spectral Theory for Bounded Operators on Hilbert Space
| dc.contributor.author | Stephen, Matthew A. | |
| dc.contributor.copyright-release | Not Applicable | en_US |
| dc.contributor.degree | Master of Science | en_US |
| dc.contributor.department | Department of Mathematics & Statistics - Math Division | en_US |
| dc.contributor.ethics-approval | Not Applicable | en_US |
| dc.contributor.external-examiner | n/a | en_US |
| dc.contributor.graduate-coordinator | Dr. Sara Faridi | en_US |
| dc.contributor.manuscripts | Not Applicable | en_US |
| dc.contributor.thesis-reader | Dr. Keith Taylor | en_US |
| dc.contributor.thesis-reader | Dr. Paolo Ciatti | en_US |
| dc.contributor.thesis-supervisor | Dr. Andrea Fraser | en_US |
| dc.date.accessioned | 2013-08-14T18:56:40Z | |
| dc.date.available | 2013-08-14T18:56:40Z | |
| dc.date.defence | 2013-08-09 | |
| dc.date.issued | 2013-08-14 | |
| dc.description.abstract | This thesis is an exposition of spectral theory for bounded operators on Hilbert space. Detailed proofs are given for the functional calculus, the multiplication operator, and the projection-valued measure versions of the spectral theorem for self-adjoint bounded operators. These theorems are then generalized to finite sequences of self-adjoint and commuting bounded operators. Finally, normal bounded operators are discussed, as a particular case of the generalization. | en_US |
| dc.identifier.uri | http://hdl.handle.net/10222/35345 | |
| dc.language.iso | en | en_US |
| dc.subject | spectral theory | en_US |
| dc.subject | Hilbert space | en_US |
| dc.subject | bounded operators | en_US |
| dc.title | Spectral Theory for Bounded Operators on Hilbert Space | en_US |