Exponential function: Difference between revisions

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=== Exponential function for matrices and Banach algebras ===
 
The definition of the exponential function exp given above can be used verbatim for every [[Banach algebra]], and in particular for square [[matrixmatrix_(mathematics)|matrices]]. In this case we have
: <math>\exp(x + y) = \exp(x) \exp(y)</math>
if <math>xy = yx</math> (''we should add the general formula involving commutators here.'')