Statements (12)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:appliesTo |
complex Banach algebras
|
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Gelfand–Mazur theorem
|
| gptkbp:implies |
the only complex division Banach algebra is the complex numbers
|
| gptkbp:namedAfter |
gptkb:Israel_Gelfand
gptkb:Stanisław_Mazur |
| gptkbp:publishedIn |
gptkb:Bulletin_of_the_Academy_of_Sciences_of_the_USSR
|
| gptkbp:sentence |
Every complex Banach algebra with unit in which every nonzero element is invertible is isometrically isomorphic to the complex numbers.
|
| gptkbp:yearProposed |
1941
|
| gptkbp:bfsParent |
gptkb:Israel_Gelfand
|
| gptkbp:bfsLayer |
4
|