Hi guys,
could you please help me with the following problem:
(e_{n}) is an orthonormal sequence on Hilbert space. Let E be a dense subset of H. ( )
Prove that the (e_{n}) is a basis on the Hilbert space if the following stands for every :
Hi guys,
could you please help me with the following problem:
(e_{n}) is an orthonormal sequence on Hilbert space. Let E be a dense subset of H. ( )
Prove that the (e_{n}) is a basis on the Hilbert space if the following stands for every :