Please use this identifier to cite or link to this item:
http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/4323
Full metadata record
DC Field | Value | Language |
---|---|---|
dc.contributor.author | Thirulogasanthar, K. | |
dc.contributor.author | Muraleetharan, B. | |
dc.date.accessioned | 2021-11-30T06:32:00Z | |
dc.date.accessioned | 2022-06-28T06:46:07Z | - |
dc.date.available | 2021-11-30T06:32:00Z | |
dc.date.available | 2022-06-28T06:46:07Z | - |
dc.date.issued | 2020 | |
dc.identifier.uri | http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/4323 | - |
dc.description.abstract | In a right quaternionic Hilbert space, for a bounded right lin ear operator, the Kato S-spectrum is introduced and studied to certain extent. In particular, it is shown that the Kato S-spectrum is a non empty compact subset of the S-spectrum and it contains the boundary of the S-spectrum. Using right-slice regular functions, local S-spectrum, at a point of a right quaternionic Hilbert space, and the local spectral subsets are introduced and studied. The S-surjectivity spectrum and its connections to the Kato S-spectrum, approximate S-point spectrum and local S-spectrum are investigated. The generalized Kato S-spectrum is introduced and it is shown that the generalized Kato S-spectrum is a compact subset of the S-spectrum. | en_US |
dc.language.iso | en | en_US |
dc.publisher | University of Jaffna | en_US |
dc.subject | Quaternions | en_US |
dc.subject | Quaternionic hilbert spaces | en_US |
dc.subject | S-spectrum | en_US |
dc.subject | Semi-regular operator | en_US |
dc.subject | Approximate S-point spectrum | en_US |
dc.subject | Surjectivity S-spectrum | en_US |
dc.subject | Kato S-spectrum | en_US |
dc.title | Kato s-spectrum in the quaternionic setting | en_US |
dc.type | Article | en_US |
Appears in Collections: | Mathematics and Statistics |
Files in This Item:
File | Description | Size | Format | |
---|---|---|---|---|
Kato S-Spectrum in the Quaternionic Setting.pdf | 567.57 kB | Adobe PDF | View/Open |
Items in DSpace are protected by copyright, with all rights reserved, unless otherwise indicated.