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

Printable View

- April 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 - April 22nd 2010, 12:27 PMFocus
- April 22nd 2010, 12:41 PMejgmath
Into where, can you elabourate?

- April 22nd 2010, 01:47 PMFocus