Some Inequalities of Čebyšev Type for Functions of Operators in Hilbert Spaces
DOI:
https://doi.org/10.5644/SJM.10.2.08Keywords:
Selfadjoint bounded linear operators, functions of operators, power seriesAbstract
Some operator inequalities for synchronous functions that are related to the Čebyšev inequality for sequences of real numbers are given. Natural examples for pairs of functions that have the same monotonicity on an interval are presented as well.
2010 Mathematics Subject Classification. 47A63, 47A99.
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References
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