Antieigenvalue inequalities in operator theory
We will prove some inequalities among trigonometric quantities of two and three operators. In particular, we will establish an inequality among joint trigonometric quantities of two operators and trigonometric quantities of each operator. As a corollary, we will find an upper bound and a lower bound...
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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/S0161171204403615 |
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| _version_ | 1832549014274310144 |
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| author | Morteza Seddighin |
| author_facet | Morteza Seddighin |
| author_sort | Morteza Seddighin |
| collection | DOAJ |
| description | We will prove some inequalities among trigonometric quantities of
two and three operators. In particular, we will establish an
inequality among joint trigonometric quantities of two operators
and trigonometric quantities of each operator. As a corollary, we
will find an upper bound and a lower bound for the total joint
antieigenvalue of two positive operators in terms of the smallest
and largest eigenvalues of these operators. |
| format | Article |
| id | doaj-art-2c7f4646db504cb7a99c79d26226a0bd |
| institution | Kabale University |
| 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-2c7f4646db504cb7a99c79d26226a0bd2025-02-03T06:12:21ZengWileyInternational Journal of Mathematics and Mathematical Sciences0161-17121687-04252004-01-012004573037304310.1155/S0161171204403615Antieigenvalue inequalities in operator theoryMorteza Seddighin0Mathematics Department, Indiana University East, Richmond, IN 47374-1289, USAWe will prove some inequalities among trigonometric quantities of two and three operators. In particular, we will establish an inequality among joint trigonometric quantities of two operators and trigonometric quantities of each operator. As a corollary, we will find an upper bound and a lower bound for the total joint antieigenvalue of two positive operators in terms of the smallest and largest eigenvalues of these operators.http://dx.doi.org/10.1155/S0161171204403615 |
| spellingShingle | Morteza Seddighin Antieigenvalue inequalities in operator theory International Journal of Mathematics and Mathematical Sciences |
| title | Antieigenvalue inequalities in operator theory |
| title_full | Antieigenvalue inequalities in operator theory |
| title_fullStr | Antieigenvalue inequalities in operator theory |
| title_full_unstemmed | Antieigenvalue inequalities in operator theory |
| title_short | Antieigenvalue inequalities in operator theory |
| title_sort | antieigenvalue inequalities in operator theory |
| url | http://dx.doi.org/10.1155/S0161171204403615 |
| work_keys_str_mv | AT mortezaseddighin antieigenvalueinequalitiesinoperatortheory |