最終更新日
：2024/08/07
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.
意味（1）
(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.
復習用の問題
(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.
正解を見る
Maharam's theorem
Maharam's theorem is a fundamental result in measure theory.
正解を見る
Maharam's theorem is a fundamental result in measure theory.
English Dictionary
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