V2EX riesz

Riesz

Definition / 释义

Riesz:常见于数学语境的专有名词(多指匈牙利数学家里斯/里斯家族的姓),用于命名一系列重要概念与定理,如 Riesz representation theorem(里斯表示定理)Riesz lemma(里斯引理)Riesz potential(里斯势) 等。

Pronunciation / 发音

/ri/

Etymology / 词源

源自匈牙利姓氏 Riesz,因纪念数学家 Frigyes Riesz(弗里杰什里斯)(以及相关学派/家族学者)而在泛函分析、测度论与偏微分方程等领域被广泛用作定理与算子/概念的命名。

Examples / 例句

The Riesz representation theorem links continuous linear functionals to inner products.
里斯表示定理把连续线性泛函与内积联系起来。

In the proof, we apply the Riesz lemma to construct a sequence that stays away from a given subspace.
在证明中,我们应用里斯引理来构造一个与给定子空间保持距离的序列。

Related Words / 相关词

Literary Works / 文学与著作示例

  • Riesz, Frigyes & Sz.-Nagy, Béla Functional Analysis(经典教材中系统呈现里斯相关思想与结果)
  • Walter Rudin Functional Analysis(涵盖并使用 Riesz representation theorem 等)
  • Reed & Simon Methods of Modern Mathematical Physics(在分析与算子理论背景中多处引用 Riesz 相关概念)
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