Awesome ty, I was able to get it now :)
I see the problem with c as well now.
I managed to figure out the adjoint/inverse stuff so thank you all very much for the help. I've very slow at this stuff.
I believe its complex value as well.
I was looking at that one and wasn't sure if I did this right.
K(cY)(x) = (cY)(x*) = cY(x*)
Would that be the way it reduces down?
Or would it be:
cY*(x) ?
Why would c effect it? I did read that this one isn't always linear, but didn't want to trust a...
So sorry, I meant i understood how to finish the rest for proving if they were linear. I worked the rest and seemed to get equivalent expressions for them all, I assume that meant I did it right.
I am confused on the adjoint and inverse part of the question.
The reflection question should have...
Homework Statement
Consider the following operators acting in the linear space of functions Ψ(x) defined on
the interval (∞,∞)
(a) Shift Ta: TaΨ(x)=Ψ(x+a), a is a constant
(b) Reflection (inversion) I: IΨ(x)=Ψ(x)
(c) Scaling Mc: McΨ(x)= √c Ψ(cx), c is a constant
(d) Complex conjugation K...