Compactification of a set of matrices with convergent infinite products

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Compactification of a set of matrices with convergent infinite products

We generalize and unify some aspects of the work of I. Daubechies, J.C. Lagarias [Linear Algebra Appl. 162 (1992) 227–263] on a set R of matrices with right-convergent-products (RCPs). We show that most properties of an RCP set R pass on to its compactification R (i.e., its closure in the matrix space). Results on finite RCP sets generally hold for compact RCP sets, among which is the existence...

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ژورنال

عنوان ژورنال: Linear Algebra and its Applications

سال: 2000

ISSN: 0024-3795

DOI: 10.1016/s0024-3795(00)00080-x