The law of the iterated logarithm for Brownian motion in a Banach space

Kuelbs, J.; Lepage, R.

doi:10.1090/S0002-9947-1973-0370725-3

The law of the iterated logarithm for Brownian motion in a Banach space
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by J. Kuelbs and R. Lepage PDF

Trans. Amer. Math. Soc. 185 (1973), 253-264 Request permission

Abstract:

Strassen’s version of the law of the iterated logarithm is proved for Brownian motion in a real separable Banach space. We apply this result to obtain the law of the iterated logarithm for a sequence of independent Gaussian random variables with values in a Banach space and to obtain Strassen’s result.

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