Far East Journal of Dynamical Systems
Volume 8, Issue 1, Pages 1 - 25
(June 2006)
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BANACH LATTICES AND THE PERRON-FROBENIUS OPERATOR ASSOCIATED WITH CHAOTIC MAP
Payer Ahmed (Bangladesh), Shinzo Kawamura (Japan) and Shingo Sasaki (Japan)
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converges
to e with respect to the norm in B
for all positive unit
vectors f in the subspace
L. These results
are Banach lattice version of the property of operators associated with chaotic
maps.