Isometries of $^{\ast }$-invariant subspaces
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- by Arthur Lubin PDF
- Trans. Amer. Math. Soc. 190 (1974), 405-415 Request permission
Abstract:
We consider families of increasing $^\ast$-invariant subspaces of ${H^2}(D)$, and from these we construct canonical isometrics from certain ${L^2}$ spaces to ${H^2}$. 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.References
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Additional Information
- © Copyright 1974 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 190 (1974), 405-415
- MSC: Primary 47B37; Secondary 47A15
- DOI: https://doi.org/10.1090/S0002-9947-1974-0338823-9
- MathSciNet review: 0338823