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Maharam's theorem
name
(mathematics)
A
result
about
the
decomposability
of
measure
spaces,
playing
an
important
role
in
the
theory
of
Banach
spaces.
In
brief,
it
states
that
every
complete
measure
space
is
decomposable
into
"non-atomic
parts"
(copies
of
products
of
the
unit
interval
[0,1]
on
the
reals),
and
"purely
atomic
parts",
using
the
counting
measure
on
some
discrete
space.
Maharam algebra
noun
