Recent content by genjuro911

Would it be possible to elaborate a bit more? <T(v),w> = <v,T*(w)> for v,w in W is the def from what I remember but how is that immediate? I was kind of thinking the same thing but don't the basis vectors for Tw have to come from the basis for T? Thanks

Seems like there is not much to derive if all of that is part of the givens. I'm guessing s, r, n, p are assumed to be constant functions so basically you have a DE that's first order and linear in W, so use separation of variables and you'll find W.

Homework Statement T a linear operator on inner product space V and W a T-invariant subspace of V. Then if T is self-adjoint then Tw is self-adjoint. Homework Equations Thm: T is self-adjoint iff \exists an orthonormal basis for V consisting of e-vectors of T. The Attempt at a...