Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space
In this paper, we present the existence of n-tuple of operators on complex Hilbert space that has a somewhere dense orbit and is not dense. We give the solution to the question stated in [11]: “Is there n-tuple of operators on a complex Hilbert space that has a somewhere dense orbit that is not dens...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
De Gruyter
2019-06-01
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| Series: | Concrete Operators |
| Subjects: | |
| Online Access: | http://www.degruyter.com/view/j/conop.2019.6.issue-1/conop-2019-0005/conop-2019-0005.xml?format=INT |
| Summary: | In this paper, we present the existence of n-tuple of operators on complex Hilbert space that has a somewhere dense orbit and is not dense. We give the solution to the question stated in [11]: “Is there n-tuple of operators on a complex Hilbert space that has a somewhere dense orbit that is not dense?” We do so by extending the results due to Feldman [11] and Leòn-Saavedra [12] to complex Hilbert space. Further illustrative examples of somewhere dense orbits are given to support the results. |
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| ISSN: | 2299-3282 |