Definition:Right Shift Operator

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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:

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


Also see


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