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 |
| _version_ | 1818357558050553856 |
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| author | Wilberth Neema Mpimbo Marco Kumar Santosh |
| author_facet | Wilberth Neema Mpimbo Marco Kumar Santosh |
| author_sort | Wilberth Neema |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-12-13T20:15:01Z |
| format | Article |
| id | doaj.art-bbf432578494473398b6dfa676cfd28f |
| institution | Directory Open Access Journal |
| issn | 2299-3282 |
| language | English |
| last_indexed | 2024-12-13T20:15:01Z |
| publishDate | 2019-06-01 |
| publisher | De Gruyter |
| record_format | Article |
| series | Concrete Operators |
| spelling | doaj.art-bbf432578494473398b6dfa676cfd28f2022-12-21T23:32:50ZengDe GruyterConcrete Operators2299-32822019-06-0161586310.1515/conop-2019-0005conop-2019-0005Somewhere Dense Orbit that is not Dense on a Complex Hilbert SpaceWilberth Neema0Mpimbo Marco1Kumar Santosh2Department of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, TanzaniaDar es SalaamDepartment of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, TanzaniaDar es SalaamDepartment of Mathematics, College of Natural and Applied Sciences, University of Dar es Salaam, TanzaniaDar es SalaamIn 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.http://www.degruyter.com/view/j/conop.2019.6.issue-1/conop-2019-0005/conop-2019-0005.xml?format=INTorbitsomewhere dense orbitdense orbitn-tuplereal hilbert space and complex hilbert spaces47a1647a15 |
| spellingShingle | Wilberth Neema Mpimbo Marco Kumar Santosh Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space Concrete Operators orbit somewhere dense orbit dense orbit n-tuple real hilbert space and complex hilbert spaces 47a16 47a15 |
| title | Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space |
| title_full | Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space |
| title_fullStr | Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space |
| title_full_unstemmed | Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space |
| title_short | Somewhere Dense Orbit that is not Dense on a Complex Hilbert Space |
| title_sort | somewhere dense orbit that is not dense on a complex hilbert space |
| topic | orbit somewhere dense orbit dense orbit n-tuple real hilbert space and complex hilbert spaces 47a16 47a15 |
| url | http://www.degruyter.com/view/j/conop.2019.6.issue-1/conop-2019-0005/conop-2019-0005.xml?format=INT |
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