Classical Banach spaces |
| Dual space | Reflexive | weakly sequentially complete | Norm | Notes |
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| Yes | Yes |
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Euclidean space |
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| Yes | Yes |
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| Yes | Yes |
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| Yes | Yes |
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| No | Yes |
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| No | No |
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| No | No |
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| No | No |
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Isomorphic but not isometric to |
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| No | Yes |
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Isometrically isomorphic to |
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| No | Yes |
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Isometrically isomorphic to |
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| No | No |
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Isometrically isomorphic to |
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| No | No |
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Isometrically isomorphic to |
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| No | No |
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| No | No |
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? | No | Yes |
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? | No | Yes |
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A closed subspace of |
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? | No | Yes |
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A closed subspace of |
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| Yes | Yes |
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| No | Yes |
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The dual is if is -finite. |
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? | No | Yes |
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is the total variation of |
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? | No | Yes |
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consists of functions such that |
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| No | Yes |
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Isomorphic to the Sobolev space |
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| No | No |
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Isomorphic to essentially by Taylor's theorem. |