# Category:Unitizations of Normed Algebras

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This category contains results about **Unitizations of Normed Algebras**.

Definitions specific to this category can be found in **Definitions/Unitizations of Normed Algebras**.

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

Let $\struct {A, \norm {\, \cdot \,} }$ be a normed algebra over $\GF$ that is not unital as an algebra.

Let $A_+$ be the unitization of $A$.

Define $\norm {\, \cdot \,}_{A_+} : A_+ \to \hointr 0 \infty$ by:

- $\norm {\tuple {x, \lambda} }_{A_+} = \norm x + \cmod \lambda$

for each $\tuple {x, \lambda} \in A_+$.

We call $\struct {A_+, \norm {\, \cdot \,}_{A_+} }$ the **unitization** of $\struct {A, \norm {\, \cdot \,} }$.

## Pages in category "Unitizations of Normed Algebras"

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