Equivalent norms
Summary
Two norms on a vector space are equivalent when each is bounded by a constant multiple of the other. Equivalent norms give the same open sets, the same convergent sequences and the same Cauchy sequences.
Further reading
- Web https://en.wikipedia.org/wiki/Norm_(mathematics), Equivalence
About this page
| Tag | 0M85DXB5RM |
|---|---|
| URI | m2://0M85DXB5RM |
| Aliases | equivalence-of-norms |
| Kind | concept |
| Writing | W1 stated |
| MSC | 46B20 |
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What this page needs for W2
- edge instance_of in: at least two examples (0 of 2)
- edge not_instance_of in: at least one non-example (0 of 1)
- edge specializes both: the more general notions and the special cases (0 of 1)
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