Gelfand-Naimark representation theorem

Theorem 1.1

Every C*-algebra is isometrically isomorphic to a norm closed *-subalgebra Bnc(H) of an algebra B(H) of bounded operatorsMathworldPlanetmathPlanetmath on some Hilbert spaceMathworldPlanetmath H. In particular, every finite dimensional C*-algebra is isomorphic to a direct sum of matrix algebras.

Title Gelfand-Naimark representation theorem
Canonical name GelfandNaimarkRepresentationTheorem
Date of creation 2013-03-22 12:57:58
Last modified on 2013-03-22 12:57:58
Owner PrimeFan (13766)
Last modified by PrimeFan (13766)
Numerical id 12
Author PrimeFan (13766)
Entry type Theorem
Classification msc 46L05
Related topic ProofOfGelfandNaimarkRepresentationTheorem