continuous linear functional造句

That is, the functionals f _ j are taken to be continuous linear functionals.
defines a continuous linear functional on.
An important theorem about continuous linear functionals on normed vector spaces is the Hahn Banach theorem.
In fact, to every convex set, the Minkowski gauge associates a continuous linear functional.
This defines as a continuous linear functional on, i . e ., an element of.
It's difficult to find continuous linear functional in a sentence. 用continuous linear functional造句挺难的

where is a vector in, is a continuous linear functional on, and is an element of.
In a Banach space, the vectors may be notated by kets and the continuous linear functionals by bras.
:( which is a densely defined " linear " map ) is a continuous linear functional.
Conversely, it can be shown that every continuous linear functional on this space defines a distribution of compact support.
The Riesz representation theorem states that every continuous linear functional on is of the form for a uniquely defined vector in.
On every non-reflexive Banach space, there exist continuous linear functionals that are not " norm-attaining ".
The same is true for subspaces of finite codimension, i . e . determined by a finite number of continuous linear functionals.
An important special case is the following : for every vector in a normed space, there exists a continuous linear functional on such that
The space of distributions will then be given as the space of continuous linear functionals on D ( " U " ).
The subset is total in if and only if the only continuous linear functional that vanishes on is the functional : this equivalence follows from the Hahn Banach theorem.

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