proper subspace sentence in Hindi

Examples

1. Note that in a case of infinite dimensionality like this, the range can be the whole Banach space even though the domain is only a proper subspace thereof.
2. A complex reflection group " W " is "'irreducible "'if the only " W "-invariant proper subspace of the corresponding vector space is the origin.
3. *PM : every finite dimensional proper subspace of a normed space is nowhere dense, id = 6687-- WP guess : every finite dimensional proper subspace of a normed space is nowhere dense-- Status:
4. *PM : every finite dimensional proper subspace of a normed space is nowhere dense, id = 6687-- WP guess : every finite dimensional proper subspace of a normed space is nowhere dense-- Status:
5. A Toronto space is a topological space that is homeomorphic to every proper subspace of the same cardinality ( it may be a good exercise to check that the topological space you mention is indeed a Toronto space ).