\begin{definition}[Definition:Right Shift Operator]
Let $X, Y$ be sequence spaces.
Let $x := \tuple {x_1, x_2, x_3, \ldots} \in X$.
The '''right shift operator''', denoted by $R$, is the mapping $R : X \to Y$ such that:
:$\map R {x_1, x_2, x_3, \ldots} = \tuple {0, x_1, x_2, \ldots}$
\end{definition}