Spectral properties of weighted composition semigroups on the Bloch space

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dc.contributor.authorMose, Samuel
dc.contributor.authorBonyo, Job
dc.contributor.authorOkoth, Isaac
dc.date.accessioned2021-05-17T11:03:47Z
dc.date.available2021-05-17T11:03:47Z
dc.date.issued2019-08
dc.descriptionPaper presented at the 5th Strathmore International Mathematics Conference (SIMC 2019), 12 - 16 August 2019, Strathmore University, Nairobi, Kenyaen_US
dc.description.abstractWe determine both the semigroup and spectral properties of a group of weighted SBS composition operators on the Little Bloch space. It turns out that these are strongly continuous groups of invertible isometries on the Bloch space. We then obtain the norm and spectra of the infinitesimal generator as well as the resulting resolvents which are given as integral operators. Using the spectral mapping theorem as well as the Hille Yosida theorem we obtain the spectral properties of the resulting integral operators.en_US
dc.description.sponsorshipMaseno University, Kenya.en_US
dc.identifier.urihttp://hdl.handle.net/11071/11915
dc.language.isoen_USen_US
dc.publisherStrathmore Universityen_US
dc.subjectAnalytic functionsen_US
dc.subjectNon-reflexive Bergman spaceen_US
dc.subjectSpectrum and resolventen_US
dc.titleSpectral properties of weighted composition semigroups on the Bloch spaceen_US
dc.typeArticleen_US
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