Dear Colleagues,

Could you please help me in solving the following problem:

Let and be normed spaces, where . Show that there is at least one unbounded linear operator .

Regards,

Raed.

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- Mar 29th 2011, 11:23 PMraedUnbounded linear operator
Dear Colleagues,

Could you please help me in solving the following problem:

Let and be normed spaces, where . Show that there is at least one unbounded linear operator .

Regards,

Raed. - Mar 30th 2011, 09:41 AMgirdav
Let a Hamel basis for . Let a sequence of linearly independent vectors of that basis. Let Put and if is not one of the . You can show that is linear and not bounded.