An example in the theory of well-bounded operators
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- by H. R. Dowson and P. G. Spain PDF
- Proc. Amer. Math. Soc. 32 (1972), 205-208 Request permission
Abstract:
If H is the Hilbert transform on ${L^p}(Z)$, then $T = \pi I + iH$ is a well-bounded operator for $1 < p < \infty$, but is not a scalar-type spectral operator except when $p = 2$.References
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Additional Information
- © Copyright 1972 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 32 (1972), 205-208
- MSC: Primary 47.40
- DOI: https://doi.org/10.1090/S0002-9939-1972-0288615-8
- MathSciNet review: 0288615