Last Updated
：2025/12/03
topological vector space
Noun
Japanese Meaning
ある位相体（例えば実数体や複素数体）上のベクトル空間で、ベクトル加法およびスカラー乗法が連続であることが保証された空間。 / 解析学や関数解析において、連続性という位相の性質をもつ演算が定まるベクトル空間。
（ plural ）
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(functional analysis) A vector space over a topological field endowed with a topology (often the real or complex numbers with standard topology) such that vector addition and scalar multiplication are continuous functions.
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topological vector space
When studying the spectral properties of operators, choosing an appropriate topological vector space often simplifies the analysis.
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When studying the spectral properties of operators, choosing an appropriate topological vector space often simplifies the analysis.
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