On the definition of the cone spectral radius

Proceedings of the American Mathematical Society

Volumn 143, Issue 4, 2015, Pages 1617-1625

  Gripenberg, Gustaf ^a  

^a AALTO UNIVERSITY   (Finland)

Author keywords

[No Author keywords available]

Indexed keywords

EID: 84923233875     PISSN: 00029939     EISSN: 10886826     Source Type: Journal    
DOI: 10.1090/S0002-9939-2014-12375-6     Document Type: Article

References (5)

1. Marianne Akian, Stéphane Gaubert, and Roger Nussbaum, A Collatz-Wielandt characterization of the spectral radius of order-preserving homogeneous maps on cones, arXive: 1112.5968v1, 2011.
2. F. F. Bonsall, Linear operators in complete positive cones, Proc. London Math. Soc. (3) 8 (1958), 53-75. MR0092938 (19,1183c)
3. Bas Lemmens and Roger Nussbaum, Continuity of the cone spectral radius, Proc. Amer. Math. Soc. 141 (2013), no. 8, 2741-2754, DOI 10.1090/S0002-9939-2013-11520-0. MR3056564
4. John Mallet-Paret and Roger D. Nussbaum, Eigenvalues for a class of homogeneous cone maps arising from max-plus operators, Discrete Contin. Dyn. Syst. 8 (2002), no. 3, 519-562, DOI 10.3934/dcds.2002.8.519. MR1897866 (2003c:47088)
5. John Mallet-Paret and Roger D. Nussbaum, Generalizing the Krein-Rutman theorem, measures of noncompactness and the fixed point index, J. Fixed Point Theory Appl. 7 (2010), no. 1, 103-143, DOI 10.1007/s11784-010-0010-3. MR2652513 (2011j:47148)