# Category:Bounded Linear Functionals

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This category contains results about **Bounded Linear Functionals**.

Definitions specific to this category can be found in Definitions/Bounded Linear Functionals.

Let $\mathbb F$ be a subfield of $\C$.

Let $\struct {X, \norm \cdot}$ be a normed vector space over $\mathbb F$.

Let $f : X \to \mathbb F$ be a linear functional.

We say that $f$ is a **bounded linear functional** if and only if:

- there exists $C > 0$ such that $\cmod {\map f x} \le C \norm x$ for each $x \in X$.

## Subcategories

This category has only the following subcategory.

## Pages in category "Bounded Linear Functionals"

The following 7 pages are in this category, out of 7 total.