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Sublinear functionals ergodicity and finite invariant measures

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  • G. Das
  • B. K. Patel

Abstract

By introducing a sublinear functional involving infinite matrices, we establish its connection with ergodicity and measure preserving transformation. Further, we characterize the existence of a finite invariant measure by means of a condition involving the above sublinear functional.

Suggested Citation

  • G. Das & B. K. Patel, 1989. "Sublinear functionals ergodicity and finite invariant measures," International Journal of Mathematics and Mathematical Sciences, Hindawi, vol. 12, pages 1-11, January.
  • Handle: RePEc:hin:jijmms:723565
    DOI: 10.1155/S0161171289001006
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