Abstract
We prove an abstract mean ergodic theorem and use it to show that if {An} is a sequence of commuting m-dissipative (or normal) operators on a Banach space X, then the intersection of their null spaces is orthogonal to the linear span of their ranges. It is also proved that the inequality IIx+AyII > II x -2 \/IAxII IIyHI (x, y G D(A)) holds for any m-dissipative operator A. These results either generalize or improve the corresponding results of Shaw, Mattila, and Crabb and Sinclair, respectively.
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