
It will be shown that the compact operators in the weakly closed algebra generated by an essentially unitary C 0 {C_0} contraction 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.
Linear operators in algebras, Canonical models for contractions and nonselfadjoint linear operators, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
Linear operators in algebras, Canonical models for contractions and nonselfadjoint linear operators, Riesz operators; eigenvalue distributions; approximation numbers, \(s\)-numbers, Kolmogorov numbers, entropy numbers, etc. of operators
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