On the existence ofσ-finite invariant measures for operators |
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Authors: | Annie Millet Louis Sucheston |
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Institution: | (1) Mathematics Department, The Ohio State University, 43210 Columbus, Ohio, USA |
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Abstract: | Several necessary and sufficient conditions are given for the existence of aσ-finite invariant measure for a positive operator onL
∞. They are ofσ-type: the entire space is an increasing union of setsX
k each of which is well-behaved.
To the Memory of Shlomo Horowitz
Research in part supported by the National Science Foundation (U.S.A.). |
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Keywords: | |
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