A formula for the inner spectral radius
This note presents an asymptotic formula for the minimum of the moduli of the elements in the spectrum of a bounded linear operator acting on Banach space X. This minimum moduli is called the inner spectral radius, and the formula established herein is an analogue of Gelfand's spectral radius f...
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| Format: | Article |
| Language: | English |
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Wiley
2004-01-01
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| Series: | International Journal of Mathematics and Mathematical Sciences |
| Online Access: | http://dx.doi.org/10.1155/S0161171204311063 |
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| _version_ | 1849685289309569024 |
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| author | S. Mahmoud Manjegani |
| author_facet | S. Mahmoud Manjegani |
| author_sort | S. Mahmoud Manjegani |
| collection | DOAJ |
| description | This note presents an asymptotic formula for the minimum of the moduli of the elements in the spectrum of a bounded linear operator acting on Banach space X. This minimum moduli is called the inner spectral radius, and the formula established herein is an analogue of Gelfand's spectral radius formula. |
| format | Article |
| id | doaj-art-c42e59090ad24b1ea4705a67ab8bf2c2 |
| institution | DOAJ |
| issn | 0161-1712 1687-0425 |
| language | English |
| publishDate | 2004-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | International Journal of Mathematics and Mathematical Sciences |
| spelling | doaj-art-c42e59090ad24b1ea4705a67ab8bf2c22025-08-20T03:23:11ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004613285329010.1155/S0161171204311063A formula for the inner spectral radiusS. Mahmoud Manjegani0School of Mathematical Science, Isfahan University of Technology, Isfahan 84156, IranThis note presents an asymptotic formula for the minimum of the moduli of the elements in the spectrum of a bounded linear operator acting on Banach space X. This minimum moduli is called the inner spectral radius, and the formula established herein is an analogue of Gelfand's spectral radius formula.http://dx.doi.org/10.1155/S0161171204311063 |
| spellingShingle | S. Mahmoud Manjegani A formula for the inner spectral radius International Journal of Mathematics and Mathematical Sciences |
| title | A formula for the inner spectral radius |
| title_full | A formula for the inner spectral radius |
| title_fullStr | A formula for the inner spectral radius |
| title_full_unstemmed | A formula for the inner spectral radius |
| title_short | A formula for the inner spectral radius |
| title_sort | formula for the inner spectral radius |
| url | http://dx.doi.org/10.1155/S0161171204311063 |
| work_keys_str_mv | AT smahmoudmanjegani aformulafortheinnerspectralradius AT smahmoudmanjegani formulafortheinnerspectralradius |