Local spectral theory of endomorphisms of the disk algebra

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DC Field	Value	Language
dc.contributor.author	Trivedi, Shailesh	-
dc.date.accessioned	2023-08-17T11:03:29Z	-
dc.date.available	2023-08-17T11:03:29Z	-
dc.date.issued	2016	-
dc.identifier.uri	https://www.degruyter.com/document/doi/10.1515/dema-2016-0009/html	-
dc.identifier.uri	http://dspace.bits-pilani.ac.in:8080/xmlui/handle/123456789/11486	-
dc.description.abstract	LetApDqdenote 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.language.iso	en	en_US
dc.publisher	De Gruyter	en_US
dc.subject	Mathematics	en_US
dc.subject	Algebraic Approach	en_US
dc.title	Local spectral theory of endomorphisms of the disk algebra	en_US
dc.type	Article	en_US
Appears in Collections:	Department of Mathematics

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