Category:Symmetric Subsets of Vector Spaces

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This category contains results about Symmetric Subsets of Vector Spaces.
Definitions specific to this category can be found in Definitions/Symmetric Subsets of Vector Spaces.

Let $V$ be a vector space over a subfield of $\C$.

Let $C \subseteq V$.

We say that $C$ is symmetric if whenever $x \in C$, we have $-x \in C$.

Pages in category "Symmetric Subsets of Vector Spaces"

The following 4 pages are in this category, out of 4 total.

B

Balanced Set in Vector Space is Symmetric

C

Closure of Symmetric Subset of Normed Vector Space is Symmetric

I

Image of Symmetric Set under Linear Transformation is Symmetric

O

Open Ball Centred at Origin in Normed Vector Space is Symmetric

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Vector Spaces