(b) If f is a bounded linear functional on a Hilbert space H, show that there is a unique y e H such that f(x) = for all ХE Н.

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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(b)
If f is a bounded linear functional on a
Hilbert space H, show that there is a
unique y e H such that f(x) = <x, y> for all
ХE Н.
Transcribed Image Text:(b) If f is a bounded linear functional on a Hilbert space H, show that there is a unique y e H such that f(x) = <x, y> for all ХE Н.
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