Last Updated
：2025/12/04
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。
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(mathematics) A result concerning certain infinite-dimensional vector spaces, stating that any orthomodular form that has an infinite orthonormal sequence is a Hilbert space over the real numbers, complex numbers or quaternions.
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Solèr's theorem
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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