Isometries of ∗ -Invariant Subspaces
Copyright policy )Isometries of ∗ -Invariant Subspaces
We consider families of increasing ∗ ^\ast -invariant subspaces of H 2 ( D ) {H^2}(D) , and from these we construct canonical isometrics from certain L 2 {L^2} spaces to H 2 {H^2} . We give necessary and sufficient conditions for these maps to be unitary, and discuss the relevance to a problem concerning a concrete model theory for a certain class of operators.
Structure theory of linear operators, Invariant subspaces of linear operators, Blaschke products, etc., Hilbert spaces of continuous, differentiable or analytic functions, Canonical models for contractions and nonselfadjoint linear operators
Structure theory of linear operators, Invariant subspaces of linear operators, Blaschke products, etc., Hilbert spaces of continuous, differentiable or analytic functions, Canonical models for contractions and nonselfadjoint linear operators
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