Examples of 'topological vector' in a sentence
Meaning of "topological vector"
topological vector: A concept in mathematics that combines the properties of a vector space and a topological space. It is often used in abstract algebra and functional analysis to study vector spaces with additional topological structure
How to use "topological vector" in a sentence
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topological vector
This is a locally convex topological vector space.
Topological vector spaces are vector spaces with a compatible topology.
Locally convex topological vector space.
Any topological vector space over a connected field is connected.
Pontryagin duality in the theory of topological vector spaces.
In such topological vector spaces one can consider series of vectors.
At this time he was a leading expert in the theory of topological vector spaces.
Convenient topological vector space.
The Gateaux derivative extends the concept to locally convex topological vector spaces.
Duality in topological vector spaces.
There do exist generalizations when V is an infinite dimensional topological vector space.
A topological field is a topological vector space over each of its subfields.
A topological vector space that is canonically isomorphic to its bidual is called reflexive space.
A number of facts from functional analysis and topological vector spaces are surveyed.
Every topological vector space which is of the second category in itself is barrelled.
See also
In this work we investigate the concept of topological vector spaces and their properties.
A locally convex topological vector space V has a topology that is defined by some family of seminorms.
Some generalizations to Banach spaces and more general topological vector spaces are possible.
Namely, if a topological vector space is finite dimensional, it is locally compact.
Let E be a locally convex topological vector space.
Locally convex topological vector spaces, here each point has a local base consisting of convex sets.
Most of the above hold for other topological vector spaces X too.
A topological vector space is said to be locally bounded if X admits a bounded neighborhood of 0.
Let X be a Hausdorff locally convex topological vector space.
However, not every topological vector space is generated by a norm.
Köthe 's best known work has been in the theory of topological vector spaces.
F-spaces are complete topological vector spaces with a translation-invariant metric.
This implies e . g. that every completely metrizable topological vector space is complete.
Below are some common topological vector spaces, roughly ordered by their niceness.
An approach to analysis based on topological groups, topological rings, and topological vector spaces.
On every infinite-dimensional topological vector space there is a discontinuous linear map.
The Hahn-Banach separation theorem generalizes the result to topological vector spaces.
A Hausdorff topological vector space is locally compact if and only if it is finite-dimensional.
FK-spaces are examples of topological vector spaces.
Topological vector spaces 2nd ed.
Theorem 1 Every locally compact Hausdorff topological vector space is finite-dimensional.
Category, Topological vector spaces.
GRASS GIS - extensible GIS for image processing and analysing raster, topological vector and graphic data.
More generally, let T be a real topological vector space, and X a T-valued integrable random variable.
Let E be a separable, real, topological vector space.
In functional analysis on a topological vector space X { \ displaystyle X }.
With this definition, D ( U ) becomes a complete locally convex topological vector space satisfying the Heine-Borel property.
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