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.
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.