Last Updated：2025/12/04
Sentence
ゼミでは、ソレールの定理（無限個の正規直交列を持つオルトモジュラー形式は実数体・複素数体・四元数体のいずれか上のヒルベルト空間であるとする定理）を学び、なぜそのような空間がヒルベルト空間になるのかを理解した。
Quizzes for review
In our seminar, we studied Solèr's theorem to understand why any orthomodular form with an infinite orthonormal sequence must be a Hilbert space over the real numbers, complex numbers, or the quaternions.
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In our seminar, we studied Solèr's theorem to understand why any orthomodular form with an infinite orthonormal sequence must be a Hilbert space over the real numbers, complex numbers, or the quaternions.
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Related words
Solèr's theorem
Proper noun
Japanese Meaning
数学における定理。これは、無限次元のある種のベクトル空間に関する結果で、無限個の直交正規基底（すなわち直交ノルム基）を持つ任意の直交加法的形式が、実数、複素数、または四元数上のヒルベルト空間であることを示す。
English - English
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