Gelfand-Naimark representation theorem
The Gelfand-Naimark representation theorem is as follows:
Every -algebra is isometrically isomorphic to a norm closed *-subalgebra of an algebra of bounded operators on some Hilbert space . In particular, every finite dimensional -algebra is isomorphic to a direct sum of matrix algebras.
|Title||Gelfand-Naimark representation theorem|
|Date of creation||2013-03-22 12:57:58|
|Last modified on||2013-03-22 12:57:58|
|Last modified by||PrimeFan (13766)|