Mathematics |
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On the p-norm joint spectral radius |
ZHOU Jia-li |
Department of Mathematics, Zhejiang University, Hangzhou 310027, China |
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Abstract The p-norm joint spectral radius is defined by a bounded collection of square matrices with complex entries and of the same size. In the present paper the author investigates the p-norm joint spectral radius for integers. The method introduced in this paper yields some basic formulas for these spectral radii. The approach used in this paper provides a simple proof of Berger-Wang\'s relation concerning the ∞-norm joint spectral radius.
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Received: 13 September 2002
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