Encyclopedia > G > Gelfand–Naimark theorem
Gelfand–Naimark theorem
In mathematics, the Gelfand–Naimark theorem states that an arbitrary C*-algebra A is isometrically *-isomorphic to a C*-algebra of bounded operators on a Hilbert space. This result was a significant point in the development of the theory of C*-algebras in the early 1940s since it established the possibility of considering a C*-algebra as an abstract algebraic entity without reference to particular realizations as an algebra of operators.
Information are taken from Wikipedia, the open encyclopedia, to which contribute many volunteers from around the whole world. Texts are available under the following conditions GNU Free Documentation License.
Encyklopedie (cz) Encyklopédia (sk) Enzyklopädie (de)