Mathematics · Functional Analysis
In a non-trivial normed linear space (X, ||.||), the only subsets that are simultaneously open and closed (clopen) are:
Verified Solution4 OptionsUpdated: October 2026👁️1 View
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- 1∅ and X✓
- 2all proper subsets of X
- 3all dense subsets of X
- 4all nowhere dense subsets of X
Correct answer
∅ and X
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