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dc.contributor.authorCole, BJ
dc.contributor.authorPoletsky, EA
dc.contributor.authorSadik, N
dc.date.accessioned2021-03-03T08:05:50Z
dc.date.available2021-03-03T08:05:50Z
dc.date.issued2002
dc.identifier.citationCole B., Sadik N., Poletsky E., "A characterization of the disk algebra", ILLINOIS JOURNAL OF MATHEMATICS, cilt.46, sa.2, ss.533-539, 2002
dc.identifier.issn0019-2082
dc.identifier.othervv_1032021
dc.identifier.otherav_15a12847-eb60-479f-b727-5a68a5d4d420
dc.identifier.urihttp://hdl.handle.net/20.500.12627/19907
dc.description.abstractWe prove that a complex unital uniform algebra is isomorphic to the disk algebra if and only if every closed subalgebra with one generator is isomorphic to the whole algebra. Moreover, every such subalgebra of the disk algebra is isometrically isomorphic to the disk algebra. On the way we prove: (1) for a function f in the disk algebra the interior of the polynomial hull of the set f ((U) over bar), where (U) over bar is the closed unit disk, is a Jordan domain; (2) if a uniform algebra A on a compact Hausdorff set X containing the Cantor set separates points of X, then there is f is an element of A such that f(X) = (U) over bar.
dc.language.isoeng
dc.subjectMatematik
dc.subjectTemel Bilimler (SCI)
dc.titleA characterization of the disk algebra
dc.typeMakale
dc.relation.journalILLINOIS JOURNAL OF MATHEMATICS
dc.contributor.department, ,
dc.identifier.volume46
dc.identifier.issue2
dc.identifier.startpage533
dc.identifier.endpage539
dc.contributor.firstauthorID165220


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