Properties and Characterizations of Normaloid, Convexoid, Transloid and Spectraloid Operators in Hilbert Spaces

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dc.contributor.advisorMutie Kavilaen_US
dc.contributor.authorMaina, George Kariuki
dc.date.accessioned2021-10-29T12:06:53Z
dc.date.available2021-10-29T12:06:53Z
dc.date.issued2021
dc.descriptionA Research Project Submitted in Partial Fulfillment of the Requirements for the Award of the Degree of Masters of Science (Pure Mathematics) in the School of Pure and Applied Sciences, Kenyatta University July 2021en_US
dc.description.abstractThere are several well-developed theorems, lemmas and propositions relating to normaloid, convexoid, spectraloid and transloid operators. It has been demonstrated that every nor- maloid operator is spectraloid and that every convexoid operator is spectraloid. In ad- dition, several researchers have extended interesting and signi cant properties of these operators. However, they do not constitute deeper and useful generalizations and there still does not exist a comprehensive investigation of the properties under which these op- erators relate to one another. In this project, we have established the essential properties and characterizations of these operators. Moreover, we have given generalized results in a Hilbert space using relevant theorems, propositions and corollaries. Lastly, we have inves- tigated conditions under which normaloid and convexiod operators relate to one another.en_US
dc.description.sponsorshipKenyatta Universityen_US
dc.identifier.urihttp://ir-library.ku.ac.ke/handle/123456789/22889
dc.language.isoenen_US
dc.publisherKenyatta Universityen_US
dc.subjectPropertiesen_US
dc.subjectCharacterizationsen_US
dc.subjectNormaloiden_US
dc.subjectConvexoiden_US
dc.subjectTransloiden_US
dc.subjectSpectraloid Operatorsen_US
dc.subjectHilbert Spacesen_US
dc.titleProperties and Characterizations of Normaloid, Convexoid, Transloid and Spectraloid Operators in Hilbert Spacesen_US
dc.typeThesisen_US
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