Please use this identifier to cite or link to this item: http://repo.lib.jfn.ac.lk/ujrr/handle/123456789/4323
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dc.contributor.authorThirulogasanthar, K.
dc.contributor.authorMuraleetharan, B.
dc.date.accessioned2021-11-30T06:32:00Z
dc.date.accessioned2022-06-28T06:46:07Z-
dc.date.available2021-11-30T06:32:00Z
dc.date.available2022-06-28T06:46:07Z-
dc.date.issued2020
dc.identifier.urihttp://repo.lib.jfn.ac.lk/ujrr/handle/123456789/4323-
dc.description.abstractIn 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.isoenen_US
dc.publisherUniversity of Jaffnaen_US
dc.subjectQuaternionsen_US
dc.subjectQuaternionic hilbert spacesen_US
dc.subjectS-spectrumen_US
dc.subjectSemi-regular operatoren_US
dc.subjectApproximate S-point spectrumen_US
dc.subjectSurjectivity S-spectrumen_US
dc.subjectKato S-spectrumen_US
dc.titleKato s-spectrum in the quaternionic settingen_US
dc.typeArticleen_US
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