Operator Theory on Hilbert Spaces.
Functional analysis, particularly the study of Operator theory on Hilbert spaces, plays a pivotal role in mathematics and its applications across various disciplines. This research report aims to conduct a comprehensive study on the significance of Operator theory on Hilbert spaces in functional ana...
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| Format: | Article |
| Language: | English |
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Kabale University
2024
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| Online Access: | http://hdl.handle.net/20.500.12493/2339 |
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| _version_ | 1814345089938358272 |
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| author | Ampeire, Anitah |
| author_facet | Ampeire, Anitah |
| author_sort | Ampeire, Anitah |
| collection | KAB-DR |
| description | Functional analysis, particularly the study of Operator theory on Hilbert spaces, plays a pivotal role in mathematics and its applications across various disciplines. This research report aims to conduct a comprehensive study on the significance of Operator theory on Hilbert spaces in functional analysis. The proposal delves into the fundamental properties and characteristics of Hilbert spaces, the properties and classifications of operators, the implications of the Spectral Theorem for self-adjoint operators, and their applications in mathematics and related fields. Through a mixed-methods approach, including literature review and thematic analysis, the study seeks to provide a holistic understanding of these concepts and their practical implications. |
| format | Article |
| id | oai:idr.kab.ac.ug:20.500.12493-2339 |
| institution | KAB-DR |
| language | English |
| publishDate | 2024 |
| publisher | Kabale University |
| record_format | dspace |
| spelling | oai:idr.kab.ac.ug:20.500.12493-23392024-10-23T00:01:00Z Operator Theory on Hilbert Spaces. Ampeire, Anitah Operator Theory Hilbert Spaces Functional analysis, particularly the study of Operator theory on Hilbert spaces, plays a pivotal role in mathematics and its applications across various disciplines. This research report aims to conduct a comprehensive study on the significance of Operator theory on Hilbert spaces in functional analysis. The proposal delves into the fundamental properties and characteristics of Hilbert spaces, the properties and classifications of operators, the implications of the Spectral Theorem for self-adjoint operators, and their applications in mathematics and related fields. Through a mixed-methods approach, including literature review and thematic analysis, the study seeks to provide a holistic understanding of these concepts and their practical implications. 2024-10-22T08:43:23Z 2024-10-22T08:43:23Z 2024 Article Ampeire, Anitah (2024). Operator Theory on Hilbert Spaces. Kabale: Kabale University. http://hdl.handle.net/20.500.12493/2339 en Attribution-NonCommercial-NoDerivs 3.0 United States http://creativecommons.org/licenses/by-nc-nd/3.0/us/ application/pdf Kabale University |
| spellingShingle | Operator Theory Hilbert Spaces Ampeire, Anitah Operator Theory on Hilbert Spaces. |
| title | Operator Theory on Hilbert Spaces. |
| title_full | Operator Theory on Hilbert Spaces. |
| title_fullStr | Operator Theory on Hilbert Spaces. |
| title_full_unstemmed | Operator Theory on Hilbert Spaces. |
| title_short | Operator Theory on Hilbert Spaces. |
| title_sort | operator theory on hilbert spaces |
| topic | Operator Theory Hilbert Spaces |
| url | http://hdl.handle.net/20.500.12493/2339 |
| work_keys_str_mv | AT ampeireanitah operatortheoryonhilbertspaces |