| 1. | Any unital normed algebra with this property is called a Banach algebra.
|
| 2. | So, the notion is more interesting for non-unital rings such as Banach algebras.
|
| 3. | In fact, \ scriptstyle W _ p is a quasi-Banach algebra.
|
| 4. | Rickart did research on Banach algebras and was the author of three books.
|
| 5. | Thus the Wiener algebra is a commutative unitary Banach algebra.
|
| 6. | The further theory built on this to include Banach algebras, which can be given abstractly.
|
| 7. | See for example normed division algebras and Banach algebras.
|
| 8. | Hypercomplex analysis on Banach algebras is called functional analysis.
|
| 9. | Not every unital commutative Banach algebra is of the form for some compact Hausdorff space.
|
| 10. | Also, is isomorphic to the Banach algebra, with the isomorphism given by the Fourier transform.
|