An example of symmetric, coercive, discontinuous bilinear form over a Hilbert space?

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Can you show me an example of symmetric, coercive and discontinuous bilinear form over a Hilbert space?

I saw some stuff here Give an example of a discontinuous bilinear form. but the forms there are not over a Hilbert space, just Banach.

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I think I solved it just changing here https://en.wikipedia.org/wiki/Discontinuous_linear_map in General Existence Theorem with T(e_n,e_n)=n and T(e_n,e_m)=0 when n different m and {e_i} is an orthonormal basis.