Computing the q-Numerical Range of Differential Operators
A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the q-numerical range of bounded and unbounnded operator matrices by variational methods. Application to Schrödinger o...
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| Format: | Article |
| Language: | English |
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Wiley
2020-01-01
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| Series: | Journal of Applied Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2020/6584805 |
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| _version_ | 1850225475763306496 |
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| author | Ahmed Muhammad Faiza Abdullah Shareef |
| author_facet | Ahmed Muhammad Faiza Abdullah Shareef |
| author_sort | Ahmed Muhammad |
| collection | DOAJ |
| description | A linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the q-numerical range of bounded and unbounnded operator matrices by variational methods. Application to Schrödinger operator, Stokes operator, and Hain-Lüst operator is given. |
| format | Article |
| id | doaj-art-58ab4a7542c94255842e95af8d05f1d9 |
| institution | OA Journals |
| issn | 1110-757X 1687-0042 |
| language | English |
| publishDate | 2020-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Applied Mathematics |
| spelling | doaj-art-58ab4a7542c94255842e95af8d05f1d92025-08-20T02:05:20ZengWileyJournal of Applied Mathematics1110-757X1687-00422020-01-01202010.1155/2020/65848056584805Computing the q-Numerical Range of Differential OperatorsAhmed Muhammad0Faiza Abdullah Shareef1Department of Mathematics, College of Science, University of Salahaddin, Erbil, IraqDepartment of Mathematics, College of Science, University of Salahaddin, Erbil, IraqA linear operator on a Hilbert space may be approximated with finite matrices by choosing an orthonormal basis of thez Hilbert space. In this paper, we establish an approximation of the q-numerical range of bounded and unbounnded operator matrices by variational methods. Application to Schrödinger operator, Stokes operator, and Hain-Lüst operator is given.http://dx.doi.org/10.1155/2020/6584805 |
| spellingShingle | Ahmed Muhammad Faiza Abdullah Shareef Computing the q-Numerical Range of Differential Operators Journal of Applied Mathematics |
| title | Computing the q-Numerical Range of Differential Operators |
| title_full | Computing the q-Numerical Range of Differential Operators |
| title_fullStr | Computing the q-Numerical Range of Differential Operators |
| title_full_unstemmed | Computing the q-Numerical Range of Differential Operators |
| title_short | Computing the q-Numerical Range of Differential Operators |
| title_sort | computing the q numerical range of differential operators |
| url | http://dx.doi.org/10.1155/2020/6584805 |
| work_keys_str_mv | AT ahmedmuhammad computingtheqnumericalrangeofdifferentialoperators AT faizaabdullahshareef computingtheqnumericalrangeofdifferentialoperators |