Question

for any operator T, show T+T* is self-adjoint and T-T* is skew-adjoint

Answer 1

are you familiar with the proof that \(f(x)+f(-x)\) is even while
\(f(x)-f(-x)\) is odd? this is pretty much identical

Answer 2

well.. from what i've learn.

I need to show that T+T* = (T+T*)*

and T-T*= -(T-T*)*

Answer 3

how can I prove T+T*=(T+T*)*?

Answer 4

what class is this for?

Answer 5

linear alg

Answer 6

maybe this will help http://www.khanacademy.org/math/linear-algebra