Let 
be a 
-algebra,
then two element 
of 
are called unitarily equivalent if there exists a unitary 
in 
such that 
.
Unitarily Equivalent
This 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
Unitarily EquivalentCite this as:
Moslehian, Mohammad Sal. "Unitarily Equivalent." From MathWorld--A Wolfram Web Resource, created by Eric W. Weisstein. https://mathworld.wolfram.com/UnitarilyEquivalent.html