A Hilbert-Type Linear Operator with the Norm and Its Applications
© Wuyi Zhong. 2009
Received: 9 February 2009
Accepted: 9 March 2009
Published: 31 March 2009
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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