| 21. | The orthogonal is a closed linear subspace of the dual.
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| 22. | Let be a vector subspace of the topological vector space.
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| 23. | Let be the corresponding nested sequence of " coordinate " subspaces of.
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| 24. | If is even, then let be an isotropic subspace complementary to.
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| 25. | Since every subspace of a compact Hausdorff space is Tychonoff one has:
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| 26. | The counterpart to subspaces are " quotient vector spaces ".
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| 27. | A subspace cannot lie in any subspace of lesser dimension.
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| 28. | A subspace cannot lie in any subspace of lesser dimension.
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| 29. | He defines the notions of projections of elements onto subspaces.
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| 30. | The full space and the empty space are always subspaces.
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