Abstract
We characterize properties of Banach spaces by mean ergodicity of operators belonging to special classes. More precisely, we prove: ¶ (i) The Banach lattice E has order continuous norm iff every power-order-bounded regular Fredholm operator is ergodic. (ii) The countably order complete Banach lattice is a KB-space iff every positive operator which possesses a quasi order bounded attractor is mean ergodic. (iii) The Banach space does not contain c0 if every Fredholm operator is ergodic.
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