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A note on periodic points of order preserving subhomogeneous maps
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UNSPECIFIED (2006) A note on periodic points of order preserving subhomogeneous maps. PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY, 134 (5). pp. 15131517.
Research output not available from this repository, contact author.Abstract
Let R+(n) be the standard closed positive cone in Rn and let G(Rn(+)) be the set of integers p = 1 for which there exists a continuous, order preserving, subhomogeneous map f : R+(n) +. R+(n), which has a periodic point with period p. It has been shown by Akian, Gaubert, Lemmens, and Nussbaum that Gamma(Rn (+)) is contained in the set B(n) consisting of those p = 1 for which there exist integers q(1) and q(2) such that p = q(1)q(2), 1 <= q1 <= ((n)(m)) and 1 <= q2 <= ((m)(vertical bar m/2 vertical bar)) for some 1 <= m <= n. This note shows that Gamma(Rn(+)) = B(n) for all n >= 1.
Item Type:  Journal Article  

Subjects:  Q Science > QA Mathematics  
Journal or Publication Title:  PROCEEDINGS OF THE AMERICAN MATHEMATICAL SOCIETY  
Publisher:  AMER MATHEMATICAL SOC  
ISSN:  00029939  
Official Date:  2006  
Dates: 


Volume:  134  
Number:  5  
Number of Pages:  5  
Page Range:  pp. 15131517  
Publication Status:  Published 
Data sourced from Thomson Reuters' Web of Knowledge
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