ISSN:
1420-8989

Keywords:
Primary 15A42
;
15A48
;
47B35
;
47B65

Source:
Springer Online Journal Archives 1860-2000

Topics:
Mathematics

Notes:
Abstract A bi-infinite sequence ...,t −2,t −1,t 0,t 1,t 2,... of nonnegativep×p matrices defines a sequence of block Toeplitz matricesT n =(t ik ),n=1,2,...,, wheret ik =t k−i ,i,k=1,...,n. Under certain irreducibility assumptions, we show that the limit of the spectral radius ofT n , asn tends to infinity, is given by inf{σ(ξ)∶ξ∈[0,∞]}, where σ(ξ) is the spectral radius of Σ j∈z t j ξ j .

Type of Medium:
Electronic Resource

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