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SEPARATED SEMI-NORMED SPACES
Оглавление| E | separated semi-normed space |
| ǁ ǁE;ν | semi-norm of E of index ν |
| set indexing the semi-norms of E | |
| equality of families of semi-norms | |
| topological equality | |
| topological equality up to an isomorphism | |
| topological inclusion | |
| E-weak | space E endowed with pointwise convergence in Eʹ |
| Eʹ | dual of E |
| Ed | Euclidean product E × … × E |
| E1 × … × Eℓ | product of spaces |
| Ê | sequential completion of E |
| Ů | interior of the set U |
| Ū | closure of U |
| ∂U | boundary of U |
| [u, υ] | closed segment: [u, υ] = {tu + (1 − t)υ : 0 ≤ t ≤ 1} |
| ℒ(E; F) | space of continuous linear mappings |
| ℒℓ(E1 × … × Eℓ; F) | space of continuous multilinear mappings |
