On Weyl’s theorem and its converse
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- by Matthew C. Y. Lee PDF
- Proc. Amer. Math. Soc. 33 (1972), 405-409 Request permission
Abstract:
In this paper we study Weyl’s theorem and von Neumann’s converse of Weyl’s theorem for the classes of all operators of the form $T_f^{ - 1}{T_g}$ and of the form ${T_g}T_f^{ - 1}$, where ${T_g}$ and ${T_f}$ are Toeplilz operators such that ${T_f}$ is invertible; and we can prove that Weyl’s theorem holds for $T_f^{ - 1}{T_g}$ and for ${T_g}T_f^{ - 1}$.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 33 (1972), 405-409
- MSC: Primary 47A99
- DOI: https://doi.org/10.1090/S0002-9939-1972-0296739-4
- MathSciNet review: 0296739