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
Sources
- 2017: Amol Sasane: A Friendly Approach to Functional Analysis ... (previous) ... (next): Chapter $\S 2.1$: Continuous and linear maps. Linear transformations