Definition:Left Shift Operator

Definition
Let $X, Y$ be sequence spaces.

Let $x := \tuple {x_1, x_2, x_3, \ldots} \in X$.

The left shift operator, denoted by $L$, is the mapping $L : X \to Y$ such that:


 * $\map L {\tuple {x_1, x_2, x_3, \ldots}} = \tuple {x_2, x_3, \ldots}$

Also see

 * Definition:Right Shift Operator
 * Definition:Forward Shift Operator