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On positive unipotent operators on Banach lattices
Authors:Roman Drnovsek
Institution:Department of Mathematics, University of Ljubljana, Jadranska 19. SI-1000 Ljubljana, Slovenia
Abstract:Let $ T$ be a positive operator on a complex Banach lattice. We prove that $ T$ is greater than or equal to the identity operator $ I$ if

$\displaystyle \lim_{n \rightarrow \infty} n \, \Vert(T - I)^n\Vert^{1/n} = 0. $

Keywords:Banach lattices  positive operators  spectrum
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