Statements (22)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:Hilbert_space
gptkb:algebra |
| gptkbp:application |
harmonic analysis
operator theory spectral theory |
| gptkbp:defines |
an associative algebra over the real or complex numbers that is also a Banach space
|
| gptkbp:example |
algebra of continuous functions on a compact space
algebra of bounded linear operators on a Hilbert space |
| gptkbp:field |
functional analysis
|
| https://www.w3.org/2000/01/rdf-schema#label |
Banach algebras
|
| gptkbp:introducedIn |
1930s
|
| gptkbp:namedAfter |
gptkb:Stefan_Banach
|
| gptkbp:property |
multiplication is continuous
norm satisfies ||xy|| ≤ ||x||·||y|| |
| gptkbp:relatedTo |
gptkb:C*-algebras
gptkb:Gelfand_representation commutative Banach algebras |
| gptkbp:studiedBy |
gptkb:mathematician
|
| gptkbp:subclassOf |
normed algebra
|
| gptkbp:bfsParent |
gptkb:C*-algebras
gptkb:Operator_algebras |
| gptkbp:bfsLayer |
6
|