A structure theorem for operators with closed range
![SOLVED: For a metric space (X, d), where a ∈ X and r > 0, prove that the open ball B(a, r) is an open set and the closed ball B[a, r]](https://cdn.numerade.com/ask_images/fb753a83d3da4561be44b20ae150f2be.jpg "SOLVED: For a metric space (X, d), where a ∈ X and r > 0, prove that the open ball B(a, r) is an open set and the closed ball B[a, r]")
SOLVED: For a metric space (X, d), where a ∈ X and r > 0, prove that the open ball B(a, r) is an open set and the closed ball B[a, r]
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