Let V be an inner product space, and let y, z ∈V. Define T: V →V by T(x) = <x, y>z for all x ∈V. First prove that T is linear. Then show that T∗exists, and find an explicit expression for it.

Advanced Engineering Mathematics
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ISBN:9780470458365
Author:Erwin Kreyszig
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Let V be an inner product space, and let y, z ∈V. Define T: V →V by T(x) = <x, y>z for all x ∈V. First prove that T is linear. Then show that T∗exists, and find an explicit expression for it.

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