Convergence of Polynomially Bounded Semigroups of Matrices
Leonid I Gurvits, Leiba Rodman · SIAM Journal on Matrix Analysis and Applications · 1997
It is proved that for polynomially bounded sets of matrices the notions of pointwise convergence and uniform convergence coincide. This result is also proved for certain sets of nonlinear maps on finite-dimensional real or complex vector spaces.