Examples of 'dual space' in a sentence
Meaning of "dual space"
dual space - A mathematical concept referring to a vector space in which two distinct inner products exist, or in physics, the space that combines both space and time dimensions
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- The vector space which comprises the set of linear functionals of a given vector space.
- The vector space which comprises the set of continuous linear functionals of a given topological vector space.
How to use "dual space" in a sentence
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dual space
The dual space of is the space of distributions on.
This is explained in the dual space article.
The dual space is.
I can be considered as a subspace of the dual space.
Thus the topological dual space contains only the zero functional.
They form a basis for the dual space.
The assignment of the dual space to a vector space is a standard example of a contravariant functor.
C belongs to the dual space.
Connection of the dual space of a group with the structure of its close subgroups.
Separability of a dual space.
The use of the dual space in some fashion is thus characteristic of functional analysis.
This result justifies why it is interesting to know whether a free space is a dual space.
The dual space of this space endowed with a suitable topology is the space of distributions.
A similar and closely related form of duality exists between a vector space and its dual space.
Consequently, the dual space is an important concept in functional analysis.
See also
This theorem establishes an important connection between a Hilbert space and its continuous dual space.
Using the dual space for the 3-D reconstruction makes it possible to dispense with depth information.
Almost all social apps are supported by a second account in Dual Space.
Why is a dual space a vector space?
It admits no continuous seminorms and no continuous linear functionals - it has trivial dual space.
In particular, the ( topological ) dual space consists of continuous functionals or to.
The lower floor is different from the upper one, which is a quieter dual space.
In particular, their dual space is trivial, that is, it contains only the zero functional.
There is in general no natural isomorphism between a finite-dimensional vector space and its dual space.
Vostok 3 was part the first dual space flight, with Pavel Popovich on Vostok 4.
If k is infinite, then k is the symmetric algebra of the dual space V ∗ { \ displaystyle V.
On a dual space X ′, there is a topology weaker than the weak topology of X ′, called weak * topology.
Iii conversion of said rectification data from said dual space into real space, and.
Equivalently δ is an element of the continuous dual space H - 1 of H1.
