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RecordNumber
62
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Author
Brian J. Cole, T. W. Gamelin
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Title of Article
Tight uniform algebras and algebras of analytic functions
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Title Of Journal
Journal of Functional Analysis
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Publication Year
1982
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Volum
46
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Page
158 - 220
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Notes
براي دانلود و مشاهده مقاله به قسمت لينكهاي مرتبط مراجعه نماييد
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Abstract
A uniform algebra A on a compact space X is tight if for each gϵC(X), the Hankel-type operator f → gf + A from View the MathML source is weakly compact. Two families of uniform algebras are shown to be tight: the algebras such as R(K) that arise in the theory of rational approximation on compact subsets of the complex plane, and algebras of analytic functions on domains in View the MathML sourcen for which a certain View the MathML source-problem is solvable. A couple of characterizations of tight algebras are given, and one of these is used to show that the property of being tight places severe restrictions on the Gleason parts of A and the measures in A⊥.
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URL
http://www.sciencedirect.com/science/article/pii/0022123682900349,/DL/Data Entry/NewEdit/Documents/Math_English_Electronic_Articles_EditDoc_925.aspx,/DL/Data Entry/NewEdit/Documents/Math_English_Electronic_Articles_EditDoc_925.aspx
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Link To Document :
