Category:Locally Convex Spaces

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This category contains results about Locally Convex Spaces.
Definitions specific to this category can be found in Definitions/Locally Convex Spaces.

Let $\GF \in \set {\R, \C}$.

Let $X$ be a vector space over $\GF$.

Let $\mathcal P$ be a set of seminorms on $X$.

We call the pair $\struct {X, \mathcal P}$ a locally convex space over $\GF$.

Subcategories

This category has only the following subcategory.

L

Locally Convex Space is Topological Vector Space‎ (2 P)

Pages in category "Locally Convex Spaces"

The following 19 pages are in this category, out of 19 total.

C

E

Existence of Non-Zero Continuous Linear Functional vanishing on Proper Closed Subspace of Hausdorff Locally Convex Space

H

I

L

N

O

S

T

Topological Dual Space of Hausdorff Locally Convex Space Separates Points

V

Vector Addition on Locally Convex Space is Continuous

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Vector Spaces