Assertion: transpose | /r/HasProperty | continuous
Facets:
value: from β(w′
type: OTHER
value: from σ(w′
type: TEMPORAL
value: to β(v′
type: OTHER
Source sentences:
text: When T is a continuous linear map between two topological vector spaces V and W, then the transpose T′ is continuous when W′ and V′ are equipped with"compatible" topologies: for example, when for X = V and X = W, both duals X′ have the strong topology β(X′, X) of uniform convergence on bounded sets of X, or both have the weak-∗ topology σ(X′, X) of pointwise convergence on
text: X. The transpose T′ is continuous from β(W′, W) to β(V′, V), or from σ(W′, W) to σ(V′, V).