Let C0 denote the subspace of lm consisting of all infinite sequences converging to zero, that is
Question:
1. l1 ⊂ c0 ⊂ l∞
2. l∞ is the dual of C0
3. l∞ is the dual of l1
The next two results will be used in subsequent applications. It implies the fundamental Lagrange multiplier rule of classical programming.
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