B*-algebras are one of the tools and objects of study in functional analysis and are used in some formulations of quantum mechanics. A B*-algebra A is a Banach algebra over the field of complex numbers, together with a map * : A -> A called involution which has the follow properties: |
B*-algebras are mathematical structures studied in functional analysis. A B*-algebra A is a Banach algebra over the field of complex numbers, together with a map * : A -> A called involution which has the follow properties: |
if the property is also true, the algebra is actually a '''C*-algebra'''. |
If the following property is also true, the algebra is actually a '''C*-algebra''': |