Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
State diagrams for bounded and unbounded linear operators
Bibliography: pages 107-110.
Saved in:
| Main Author: | |
|---|---|
| Other Authors: | |
| Format: | Thesis |
| Language: | English |
| Published: |
Department of Mathematics and Applied Mathematics
2016
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613159373668352 |
|---|---|
| access_status_str | Open Access |
| author | O'Connor, B J |
| author2 | Cross, Ron W |
| author_browse | Cross, Ron W O'Connor, B J |
| author_facet | Cross, Ron W O'Connor, B J |
| author_sort | O'Connor, B J |
| collection | Thesis |
| description | Bibliography: pages 107-110. |
| format | Thesis |
| id | oai:open.uct.ac.za:11427/18245 |
| institution | University of Cape Town (South Africa) |
| language | eng |
| last_indexed | 2026-06-10T12:31:43.046Z |
| license_str | Not specified — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UCTD — University of Cape Town Open Access Repository |
| publishDate | 2016 |
| publishDateRange | 2016 |
| publishDateSort | 2016 |
| publisher | Department of Mathematics and Applied Mathematics |
| publisherStr | Department of Mathematics and Applied Mathematics |
| record_format | dspace |
| source_str | UCTD — University of Cape Town Open Access Repository |
| spelling | oai:open.uct.ac.za:11427/18245 State diagrams for bounded and unbounded linear operators O'Connor, B J Cross, Ron W Mathematics Linear operators Bibliography: pages 107-110. The theme of this thesis is the construction of state diagrams and their implications. The author generalises most of the theorems in Chapter II of Goldberg [Gl] by dropping the assumption that the doin.ain of the operator is dense in X . The author also presents the standard Taylor-Halberg-Goldberg state diagrams [Gl, 61, 66]. Chapters II and III deal with F₊- and F₋-operators, which are generalisations of the ф₊- and ф₋-operators in Banach spaces of Gokhberg-Krein [GK]. Examples are given of F₊- and F₋-operators. Also, in Chapter III, the main theorems needed to construct the state diagrams of Chapter IV are discussed. The state diagrams of Chapter IV are based on states corresponding to F₊- and F₋-operators; in addition state diagrams relating T and T˝ under the assumptions ϒ(T) > 0 and ϒ(T΄) > 0 are derived. Second adjoints are important in Tauberian Theory (see Cross [Cl]). Chapters I and IV are the main chapters. In Chapter I of this thesis the author modifies many of the proofs appearing in Goldberg [Gl), to take account of the new definition of the adjoint. 2016-03-28T14:25:40Z 2016-03-28T14:25:40Z 1990 Master Thesis Masters MSc http://hdl.handle.net/11427/18245 eng application/pdf Department of Mathematics and Applied Mathematics Faculty of Science University of Cape Town |
| spellingShingle | Mathematics Linear operators O'Connor, B J State diagrams for bounded and unbounded linear operators |
| thesis_degree_str | Master's |
| title | State diagrams for bounded and unbounded linear operators |
| title_full | State diagrams for bounded and unbounded linear operators |
| title_fullStr | State diagrams for bounded and unbounded linear operators |
| title_full_unstemmed | State diagrams for bounded and unbounded linear operators |
| title_short | State diagrams for bounded and unbounded linear operators |
| title_sort | state diagrams for bounded and unbounded linear operators |
| topic | Mathematics Linear operators |
| url | http://hdl.handle.net/11427/18245 |
| work_keys_str_mv | AT oconnorbj statediagramsforboundedandunboundedlinearoperators |