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 $\struct {A, \circ}$ be an algebra over $R$ which is also a Banach space.
Then $\struct {A, \circ}$ is a Banach algebra if and only if:
- $\forall a, b \in R: \norm {a \circ b} \le \norm a \norm b$
where $\norm {\, \cdot \,}$ denotes the norm on $A$.
Subcategories
This category has the following 3 subcategories, out of 3 total.
Pages in category "Banach Algebras"
The following 8 pages are in this category, out of 8 total.