Category:Banach Algebras

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This category contains results about Banach Algebras.
Definitions specific to this category can be found in Definitions/Banach Algebras.

Let $R$ be either the real numbers $\R$ or the complex numbers $\C$..

Let $A$ be an algebra over $R$ which is also a Banach space.

Then $A$ is a Banach algebra if and only if:

$\forall a, b \in R: \norm {a b} \le \norm a \norm b$

where $\norm {\, \cdot \,}$ denotes the norm on $A$.


This category has only the following subcategory.

Pages in category "Banach Algebras"

This category contains only the following page.