In article <1175080237.710100.17680@xxxxxxxxxxxxxxxxxxxxxxxxxxxx>,
Kostyantyn Yusenko <kay.math@xxxxxxxxx> wrote:
We are given a Gilbert space H and measure m. The question is for
which measures m the spaces L_2(H,m) are separable?
Is this true that when m is propabilistic measure then space L_2(H,m)
is separable?
Thank you.
If one has a sigma-finite measure on the Borel sets of
a separable metric space, L_p(H, m) is separable for
p finite.
--
This address is for information only. I do not claim that these views
are those of the Statistics Department or of Purdue University.
Herman Rubin, Department of Statistics, Purdue University
hrubin@xxxxxxxxxxxxxxx Phone: (765)494-6054 FAX: (765)494-0558
.
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