Measure, Integration & Real Analysis · Problem 10A.1

Linear Maps on Hilbert Spaces — Sheldon Axler

Mathematics — Measure Theory · adjoint-right-shift

Problem

Define T:ℓ2→ℓ2T: \ell^2 \to \ell^2 by T(a1,a2,…)=(0,a1,a2,…)T(a_1, a_2, \ldots) = (0, a_1, a_2, \ldots). Find a formula for T∗T^*.

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