The Gelfand-Naimark theorem states that each 
-algebra is isometrically 
-isomorphic to a closed 
-subalgebra of the algebra 
consisting of all bounded operators acting on a Hilbert
space 
.
Gelfand-Naimark Theorem
See also
C-*-Algebra, Hilbert SpaceThis entry contributed by Mohammad Sal Moslehian
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References
Murphy, G. J. C-*-Algebras and Operator Theory. New York: Academic Press, 1990.Referenced on Wolfram|Alpha
Gelfand-Naimark TheoremCite this as:
Moslehian, Mohammad Sal. "Gelfand-Naimark Theorem." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/Gelfand-NaimarkTheorem.html