Banach Journal of Mathematical Analysis
- Banach J. Math. Anal.
- Volume 13, Number 1 (2019), 151-173.
Spectral picture for rationally multicyclic subnormal operators
For a pure bounded rationally cyclic subnormal operator on a separable complex Hilbert space , Conway and Elias showed that . This article examines the property for rationally multicyclic (-cyclic) subnormal operators. We show that there exists a -cyclic irreducible subnormal operator with . We also show the following. For a pure rationally -cyclic subnormal operator on with the minimal normal extension on , let . Suppose that is pure. Then .
Banach J. Math. Anal., Volume 13, Number 1 (2019), 151-173.
Received: 14 March 2018
Accepted: 21 June 2018
First available in Project Euclid: 28 September 2018
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Yang, Liming. Spectral picture for rationally multicyclic subnormal operators. Banach J. Math. Anal. 13 (2019), no. 1, 151--173. doi:10.1215/17358787-2018-0020. https://projecteuclid.org/euclid.bjma/1538121809