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SOLVED: If Y is a finite-dimensional subspace of a normed space X and we want to approximate an element x out of Y, it is natural to choose a basis e1, e2, ...,
![ANSWERED] Let X₁ be a closed subspace and X₂ be a finite dimen... - Algebra - Kunduz](https://media.kunduz.com/media/sug-question/raw/79397977-1659890173.8687193.jpeg "ANSWERED] Let X₁ be a closed subspace and X₂ be a finite dimen... - Algebra - Kunduz")
ANSWERED] Let X₁ be a closed subspace and X₂ be a finite dimen... - Algebra - Kunduz
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SOLVED: Let X be a closed subspace and Y be a finite dimensional subspace of a normed space X. Then X+Y is closed in X. Hint: Proof of 5.4b
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