# Definition:Right Shift Operator

## Definition

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:

$\map R {x_1, x_2, x_3, \ldots} = \tuple {0, x_1, x_2, \ldots}$