I don't have any theorem like that - I don't even know what a pre-Hilbert space is. My professor said it was a very simple, short proof with applications of definition and properties we have, but I can't figure it out. I've listed most of the information I have to work with, but I can't make it...
Homework Statement
Suppose T is in the set of linear transformations on an inner product space V and lamba is in F, the scalar field of V. Prove that lamda is an eigenvalue of T iff lamda_bar (the conjugate) is an eigenvalue of T*, the adjoint of T.
Homework Equations
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