Consider the right-shift on the Hilbert space l2: S:l → l, S(@1,a2, ...) = (0, a1, a2, ...). Define its adjoint operator.

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Consider the right-shift on the Hilbert space l2:
S:(² → l², S(a1, a2, ...) = (0, a1, A2, ...).
(0, α1, α2, .. . ) .
Define its adjoint operator.
Transcribed Image Text:Consider the right-shift on the Hilbert space l2: S:(² → l², S(a1, a2, ...) = (0, a1, A2, ...). (0, α1, α2, .. . ) . Define its adjoint operator.
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