Local spectral theory of endomorphisms of the disk algebra

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dc.contributor.authorTrivedi, Shailesh
dc.date.accessioned2023-08-17T11:03:29Z
dc.date.available2023-08-17T11:03:29Z
dc.date.issued2016
dc.description.abstractLetApDqdenote the disk algebra. Every endomorphism ofApDqis inducedby someφPApDqwith}φ}≤1. In this paper, it is shown that ifφis not an automorphismofDandφhas a fixed point in the open unit disk then the endomorphism induced byφis decomposable if and only if the fixed set ofφis singleton. Further, we determine thelocal spectra of the endomorphism induced byφin the cases when the fixed set ofφeitherincludes unit circle or is a singleton.en_US
dc.identifier.urihttps://www.degruyter.com/document/doi/10.1515/dema-2016-0009/html
dc.identifier.urihttp://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11486
dc.language.isoenen_US
dc.publisherDe Gruyteren_US
dc.subjectMathematicsen_US
dc.subjectAlgebraic Approachen_US
dc.titleLocal spectral theory of endomorphisms of the disk algebraen_US
dc.typeArticleen_US

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