SOME REMARKS ON GAUSSIAN MEASURES IN BANACH SPACES

Stanisław Kwapień Bogusław Szymański

Abstract: A sequence of vectors in a Banach space is called a
of a symmetric Gaussian measure on if there exists a sequence of
independent Gaussian random variables such that converges a.s. and
is its distribution. It is shown that for each symmetric Gaussian measure on there exists a
representing sequence such that is convergent. Also other results
relating to representing sequences are established.