A Counterexample for Banach Space Valued Random Variables

J. Kuelbs

doi:10.1214/aop/1176996039

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Home > Journals > Ann. Probab. > Volume 4 > Issue 4 > Article

August, 1976 A Counterexample for Banach Space Valued Random Variables

J. Kuelbs

Ann. Probab. 4(4): 684-689 (August, 1976). DOI: 10.1214/aop/1176996039

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Abstract

There exists a sequence of i.i.d. random variables taking values in the infinite dimensional Banach space $c_0$ satisfying the law of the iterated logarithm and failing to obey the central limit theorem.

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J. Kuelbs. "A Counterexample for Banach Space Valued Random Variables." Ann. Probab. 4 (4) 684 - 689, August, 1976. https://doi.org/10.1214/aop/1176996039