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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| Main Author: | |
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| Format: | Article |
| Language: | English |
| Published: |
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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| Summary: | 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. |
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| ISSN: | 0161-1712 1687-0425 |