Recent content by Squirtle

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...

Thank you I understand that part now. Now for the other parts :(

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...