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http://hdl.handle.net/20.500.12358/21412
Title | On Variance and Covariance for Bounded Linear Operators |
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Abstract |
In this thesis we have studied Covariance and Variance for bounded linear operators on a complex Hilbert space, where we focus our study on Covariance-Variance inequality(C-V inequality)and its applications. We apply (C-V inequality) to prove some improvements on some known inequalities like Bernistein, Heinz-Kato-Furuta and Reid inequalities. We introduce Furuta inequality and proved an extension of Reid inequality. Finally we use the C-V inequality to prove several inequalities equivalent to Furuta inequality. |
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Type | رسالة ماجستير |
Date | 2006 |
Language | English |
Publisher | the islamic university |
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License | ![]() |
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file_1.pdf | 331.4Kb |