메뉴 건너뛰기




Volumn 416, Issue 2-3, 2006, Pages 615-626

Iterated linear maps on a cone and Denjoy-Wolff theorems

Author keywords

Cones; Denjoy Wolff theorems; Hilbert's projective metric; Nonexpansive maps; Perron Frobenius theorems

Indexed keywords

CONES; EIGENVALUES AND EIGENFUNCTIONS; ITERATIVE METHODS; POLYNOMIALS; THEOREM PROVING;

EID: 33646932747     PISSN: 00243795     EISSN: None     Source Type: Journal    
DOI: 10.1016/j.laa.2005.12.009     Document Type: Article
Times cited : (3)

References (21)
  • 2
    • 0242698387 scopus 로고    scopus 로고
    • A characterization of convexity-preserving maps from a subset of a vector space into another vector space
    • Ariyawansa K.A., Davidon W.C., and McKennon K.D. A characterization of convexity-preserving maps from a subset of a vector space into another vector space. J. London Math. Soc. (2) 64 1 (2001) 179-190
    • (2001) J. London Math. Soc. (2) , vol.64 , Issue.1 , pp. 179-190
    • Ariyawansa, K.A.1    Davidon, W.C.2    McKennon, K.D.3
  • 3
    • 84960599981 scopus 로고
    • Iteration of contractions and analytic maps
    • Beardon A.F. Iteration of contractions and analytic maps. J. London Math. Soc. 41 (1990) 141-150
    • (1990) J. London Math. Soc. , vol.41 , pp. 141-150
    • Beardon, A.F.1
  • 5
    • 0015744267 scopus 로고
    • Hilbert's metric and positive contraction mappings in Banach space
    • Bushell P. Hilbert's metric and positive contraction mappings in Banach space. Arch. Ration. Mech. Anal. 52 (1973) 330-338
    • (1973) Arch. Ration. Mech. Anal. , vol.52 , pp. 330-338
    • Bushell, P.1
  • 7
    • 84973945449 scopus 로고
    • Applications of the Birkhoff-Hopf theorem to the spectral theory of positive linear operators
    • Eveson S.P., and Nussbaum R.D. Applications of the Birkhoff-Hopf theorem to the spectral theory of positive linear operators. Math. Proc. Cambridge Philos. Soc. 117 (1995) 491-512
    • (1995) Math. Proc. Cambridge Philos. Soc. , vol.117 , pp. 491-512
    • Eveson, S.P.1    Nussbaum, R.D.2
  • 8
    • 0001065038 scopus 로고
    • The growth of powers of a nonnegative matrix
    • Friedland S., and Schneider H. The growth of powers of a nonnegative matrix. SIAM J. Alg. Disc. Meth. 1 (1980) 185-200
    • (1980) SIAM J. Alg. Disc. Meth. , vol.1 , pp. 185-200
    • Friedland, S.1    Schneider, H.2
  • 11
    • 0035597126 scopus 로고    scopus 로고
    • Non-expanding maps and Busemann functions
    • Karlsson A. Non-expanding maps and Busemann functions. Ergodic Theory Dynam. Systems 21 (2001) 1447-1457
    • (2001) Ergodic Theory Dynam. Systems , vol.21 , pp. 1447-1457
    • Karlsson, A.1
  • 12
    • 0142039837 scopus 로고    scopus 로고
    • The Hilbert metric and Gromov hyperbolicity
    • Karlsson A., and Noskov G. The Hilbert metric and Gromov hyperbolicity. Enseign. Math. 48 (2002) 73-89
    • (2002) Enseign. Math. , vol.48 , pp. 73-89
    • Karlsson, A.1    Noskov, G.2
  • 13
    • 0036014244 scopus 로고    scopus 로고
    • Eigenvalues for a class of homogeneous cone maps arising from max-plus operators
    • Mallet-Paret J., and Nussbaum R.D. Eigenvalues for a class of homogeneous cone maps arising from max-plus operators. Discrete Contin. Dynam. Systems 8 (2002) 519-562
    • (2002) Discrete Contin. Dynam. Systems , vol.8 , pp. 519-562
    • Mallet-Paret, J.1    Nussbaum, R.D.2
  • 14
  • 15
    • 0001338186 scopus 로고
    • Iterated nonlinear maps and Hilbert's projective metric
    • Nussbaum R.D. Iterated nonlinear maps and Hilbert's projective metric. Mem. Amer. Math. Soc. 391 (1988)
    • (1988) Mem. Amer. Math. Soc. , vol.391
    • Nussbaum, R.D.1
  • 16
    • 33646950617 scopus 로고    scopus 로고
    • R.D. Nussbaum, Fixed point theorems and Denjoy-Wolff theorems for Hilbert projective metric in infinite dimensions, in preparation.
  • 17
    • 0033095769 scopus 로고    scopus 로고
    • Generalizations of the Perron-Frobenius theorem for nonlinear maps
    • Nussbaum R.D., and Verduyn Lunel S.M. Generalizations of the Perron-Frobenius theorem for nonlinear maps. Mem. Amer. Math. Soc. 659 (1999)
    • (1999) Mem. Amer. Math. Soc. , vol.659
    • Nussbaum, R.D.1    Verduyn Lunel, S.M.2
  • 18
    • 0004267646 scopus 로고
    • Princeton University Press, Princeton
    • Rockafeller R.T. Convex Analysis (1970), Princeton University Press, Princeton
    • (1970) Convex Analysis
    • Rockafeller, R.T.1


* 이 정보는 Elsevier사의 SCOPUS DB에서 KISTI가 분석하여 추출한 것입니다.