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CONDITIONAL EXPECTATION OF PETTIS INTEGRABLE UNBOUNDED RANDOM SETS

  • 투고 : 2019.01.24
  • 심사 : 2019.10.16
  • 발행 : 2020.03.01

초록

In this paper we established new results of existence of conditional expectation for closed convex and unbounded Pettis integrable random sets without assuming the Radon Nikodym property of the Banach space. As application, new versions of multivalued Lévy's martingale convergence theorem are proved by using the Slice and the linear topologies.

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과제정보

The author wishes to thank the reviewer for his helpful remarks, valuable suggestions and his collaboration to evaluate this work.

참고문헌

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