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A Hilbert-Type Linear Operator with the Norm and Its Applications


A Hilbert-type linear operator is defined. As for applications, a more precise operator inequality with the norm and its equivalent forms are deduced. Moreover, three equivalent reverses from them are given as well. The constant factors in these inequalities are proved to be the best possible.

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Correspondence to Wuyi Zhong.

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Zhong, W. A Hilbert-Type Linear Operator with the Norm and Its Applications. J Inequal Appl 2009, 494257 (2009).

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  • Linear Operator
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