English Dictionary

Dvoretzky's theorem

固有名詞

(mathematics) An important structural theorem in the theory of Banach spaces, essentially stating that every sufficiently high-dimensional normed vector space will have low-dimensional subspaces that are approximately Euclidean.

日本語の意味

数学：Banach空間理論における重要な構造定理。十分に高次元のノルム付きベクトル空間が、近似的にユークリッドな低次元部分空間を持つことを示す定理。

In functional analysis seminars, Dvoretzky's theorem often sparks lively discussions about the geometry of high-dimensional Banach spaces.

関数解析のセミナーでは、ドヴォレツキーの定理（十分高次元のノルム付きベクトル空間がほぼユークリッドな低次元部分空間を含むとする構造定理）が高次元バナッハ空間の幾何学について活発な議論をしばしば引き起こす。

意味（1）

(mathematics) An important structural theorem in the theory of Banach spaces, essentially stating that every sufficiently high-dimensional normed vector space will have low-dimensional subspaces that are approximately Euclidean.