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http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/4318| Title: | S-Spectrum and the quaternionic Cayley transform of an operator |
| Authors: | Muraleetharan, B. Sabadini, I. Thirulogasanthar, K. |
| Keywords: | quaternions;Quaternionic Hilbert spacesq;symmetric operator;cayley transform;s -spectrum |
| Issue Date: | 2018 |
| Publisher: | University of Jaffna |
| Abstract: | In this paper we define the quaternionic Cayley transformation of a densely defined, symmetric, quaternionic right linear operator and formulate a general theory of defect number in a right quaternionic Hilbert space. This study investigates the relation between the defect number and S-spectrum, and the properties of the Cayley transform in the quaternionic setting. |
| URI: | http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/4318 |
| Appears in Collections: | Mathematics and Statistics |
Files in This Item:
| File | Description | Size | Format | |
|---|---|---|---|---|
| S-Spectrum and the quaternionic Cayley transform of an.pdf | 405.53 kB | Adobe PDF | View/Open |
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