Computing products of the unilateral shift operator and its adjoint

[Nusc]

Homework Statement

Let S be the unilateral shift and compute SS^* and S^*S. Also compute S^n S^(*n) and S^(*n)S^n

Homework Equations

The Attempt at a Solution

First what is meant by unilateral shift?

 

[tiny-tim]

First what is meant by unilateral shift?

No, I'd never heard of it either!

Always try wikipedia … http://en.wikipedia.org/wiki/Unilateral_shift ​