Bounded Semigroups of Matrices

@inproceedings{Marc2001BoundedSO,
  title={Bounded Semigroups of Matrices},
  author={Marc and A. Berger},
  year={2001}
}
In this note are proved two conjectures of Daubechies and Lagarias. The first asserts that if Z is a bounded set of matrices such that all left infinite products converge, then 8 generates a bounded semigroup. The second asserts the equality of two differently defined joint spectral radii for a bounded set of matrices. One definition involves the conventional spectral radius, and one involves the operator norm. The occurrence of convergent infinite products of matrices pervades many current… CONTINUE READING
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A note on the joint spectral radius, In&g

Math, Amer. Math. Sot, Providence, 1986. G.C. Rota, W. G. Strang
Received • 1960

Uniform refinement of curves , Linear Algebra Appl

H. Prautzsch
-1

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