Hello,

I am considering the banach-space and the functions:

I have calculated the numbers , , and (they all have value 1).

How do I, using the above numbers, conclude that does not form a hilbertspace for ?

Thanks.

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- Mar 15th 2011, 02:35 PMsurjectivehilbert space
Hello,

I am considering the banach-space and the functions:

I have calculated the numbers , , and (they all have value 1).

How do I, using the above numbers, conclude that does not form a hilbertspace for ?

Thanks. - Mar 15th 2011, 02:58 PMOpalg
The parallelogram law holds in a Hilbert space.

And BTW they shouldn't all have the value 1. - Mar 15th 2011, 03:11 PMsurjective
Ok thanks. Maybe I made a mistake in calculating the values. Let me look at it.

- Mar 15th 2011, 03:37 PMsurjectivenorms
Here are my values:

Could you check the last calculation??? - Mar 16th 2011, 01:58 AMOpalg