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Jan 15, 2011 at 20:41 comment added Anatoly Kochubei For a matrix $A$ with the maximum of absolute values of elements equal to 1, form the matrix $A'$ of the images of elements in the residue field. If the field, over which the matrix $A$ is defined, contains all its eigenvalues, $A'$ is diagonalizable and not scalar, then $A$ has a spectral decomposition of the kind resembling classical Hermitian or normal matrices over complex numbers. The infinite-dimensional case is similar though it is formulated in a more complicated way. - Anatoly Kochubei
Jan 15, 2011 at 17:55 comment added Łukasz Grabowski imho it'd be more helpful if you describe the theorem roughly, and reference for the details to the paper. Or at least if you write which exactly theorem from the paper you are referring to.
Jan 13, 2011 at 19:17 history answered Anatoly Kochubei CC BY-SA 2.5