Consider a function space of the set of functions f(x) of a real variable x ∈ (−∞, +∞), such that f(x) → 0 as x → ±∞. For a unit weight function w(x) = 1, determine if the operator i(d/dx) are Hermitian.

Elementary Linear Algebra (MindTap Course List)
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Chapter4: Vector Spaces
Section4.4: Spanning Sets And Linear Independence
Problem 76E: Let f1(x)=3x and f2(x)=|x|. Graph both functions on the interval 2x2. Show that these functions are...
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Consider a function space of the set of functions f(x) of a real variable x ∈ (−∞, +∞), such that f(x) → 0 as x → ±∞. For a unit weight function w(x) = 1, determine if the operator i(d/dx) are Hermitian.

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