Operator Arithmetic-Harmonic Mean Inequality on Krein Spaces
We prove an operator arithmetic-harmonic mean type inequality in Krein space setting, by using some block matrix techniques of indefinite type. We also give an example which shows that the operator arithmetic-geometric-harmonic mean inequality for two invertible selfadjoint operators on Krein sp...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Islamic Azad University
2014-03-01
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| Series: | Journal of Mathematical Extension |
| Online Access: | http://ijmex.com/index.php/ijmex/article/view/205/145 |
| Summary: | We prove an operator arithmetic-harmonic mean type inequality
in Krein space setting, by using some block matrix techniques
of indefinite type. We also give an example which shows that the operator
arithmetic-geometric-harmonic mean inequality for two invertible
selfadjoint operators on Krein spaces is not valid, in general. |
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| ISSN: | 1735-8299 1735-8299 |