continuous linear mapの例文

例文

1. Both examples have the property that any continuous linear map to the real numbers is.
2. The dual space of a topological vector space is the collection of continuous linear maps from the space into the underlying field.
3. In Banach spaces, a large part of the study involves the continuous linear maps from the space into its underlying field, so-called functionals.
4. In the operator theory, a topologically transitive bounded linear operator ( a continuous linear map on a topological vector space ) is usually called hypercyclic operator.
5. This is a consistent use of notation from the point of view of the category of topological vector spaces, in which the morphisms ( & ldquo; arrows & rdquo; ) are the continuous linear maps.