I need to show that a linear functional on a Hilbert space defined by has operator norm .

I have already shown by the Cauchy Schwarz inequality that .

I think now I need to show that .

Any help would be great, Thanks

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- Apr 22nd 2010, 12:09 PMejgmathLinear Functional
I need to show that a linear functional on a Hilbert space defined by has operator norm .

I have already shown by the Cauchy Schwarz inequality that .

I think now I need to show that .

Any help would be great, Thanks - Apr 22nd 2010, 12:27 PMFocus
- Apr 22nd 2010, 12:41 PMejgmath
Into where, can you elabourate?

- Apr 22nd 2010, 01:47 PMFocus