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Prove or disprove about Dual space
1. X : Banach space Z : closed subspace of X Prove or disprove that X* ⊆ Z* where Z* and X* are dual space of Z and X, respectively. 2. X : normed space and f : X → R : linear functional. Assume that ∃a∈X and r∈(0,1] such that f(B(a,r))=R(Real numbers) where B(a,r) is open...- TZenith
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- Dual Space
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- Forum: Calculus and Beyond Homework Help