Compact Operators in the Algebra Generated by Essentially Unitary C0Operators

Compact Operators in the Algebra Generated by Essentially Unitary C0Operators

It will be shown that the compact operators in the weakly closed algebra generated by an essentially unitary C0contraction are weakly dense in the algebra. The result implies the extension of a double dual theorem of Kriete, Moore and Page and yields a partial answer to a question on reductive algeb...

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Veröffentlicht in:Proceedings of the American Mathematical Society 1975-08, Vol.51 (1), p.159-162
1. Verfasser: Nordgren, Eric A.
Format: Artikel
Sprache:eng
Schlagworte:
Algebra
Banach space
Lebesgue measures
Mathematical functions
Mathematical theorems
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Zusammenfassung:It will be shown that the compact operators in the weakly closed algebra generated by an essentially unitary C0contraction are weakly dense in the algebra. The result implies the extension of a double dual theorem of Kriete, Moore and Page and yields a partial answer to a question on reductive algebras raised by Rosenthal.
ISSN:0002-9939
1088-6826