A simple proof of the Perron-Frobenius theorem for positive symmetric matrices

1976 ◽  
Vol 9 (8) ◽  
pp. 1281-1282 ◽  
Author(s):  
F Ninio
Keyword(s):  
Simple Proof ◽  
Symmetric Matrices ◽  
Frobenius Theorem

A Simple Proof of Frobenius Theorem

1981 ◽  
pp. 67-69 ◽  
Author(s):  
Shiing-shen Chern ◽  
Jon G. Wolfson
Keyword(s):  
Simple Proof ◽  
Frobenius Theorem

scholarly journals A simple proof of the Zolotareff-Frobenius theorem

1976 ◽  
Vol 54 (1) ◽  
pp. 53-53 ◽  
Author(s):  
Robert E. Dressler ◽  
Ernest E. Shult
Keyword(s):  
Simple Proof ◽  
Frobenius Theorem

A Simple Proof of Frobenius Theorem

1989 ◽  
pp. 37-39
Author(s):  
Shiing-shen Chern ◽  
Jon G. Wolfson
Keyword(s):  
Simple Proof ◽  
Frobenius Theorem

scholarly journals On Gibbs Measures and Spectra of Ruelle Transfer Operators

2017 ◽  
Vol 60 (2) ◽  
pp. 411-421
Author(s):  
Luchezar Stoyanov
Keyword(s):  
Spectral Radius ◽  
Spectral Properties ◽  
Gibbs Measures ◽  
Transfer Operator ◽  
Frobenius Theorem ◽  
Transfer Operators

AbstractWe prove a comprehensive version of the Ruelle–Perron–Frobenius Theorem with explicit estimates of the spectral radius of the Ruelle transfer operator and various other quantities related to spectral properties of this operator. The novelty here is that the Hölder constant of the function generating the operator appears only polynomially, not exponentially as in previously known estimates.

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