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@yamagata123(山形 浩一)

特異値分解とフォンノイマン代数と極大部分等長作用素

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  1. ヒルベルト空間上の有界作用素 Aは特異値分解 A=W|A| が可能であることをさっと証明する．(Wは部分等長作用素)
  2. 部分等長作用素W をAをつかって代数的に書いてみる．
  3. 特異値分解がフォンノイマン代数で閉じていることを確認する．
  4. 極大部分等長作用素というものを考えて ユニタリー作用素で特異値分解ができる条件を調べてみる．
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