Last Updated
：2026/01/04
バナッハ空間
Hiragana
ばなっはくうかん
Noun
Japanese Meaning
数列は、それを構成する要素が全て自然数である数の列のことである。無限に続くものを無限数列、有る程度のところで終わるものを有限数列という。 / 数列は座標ベクトルの列としても理解できる場がある
Easy Japanese Meaning
もののあつまりで、きょりやおおきさをはかれます。ちかづくならびがさいごにひとつにおさまるものです。
Chinese (Simplified) Meaning
完备的赋范向量空间 / 所有柯西序列都收敛的赋范空间
Chinese (Traditional) Meaning
完備的範數向量空間 / 其中每個柯西序列皆收斂的範數空間
Korean Meaning
노름이 정의된 완비 벡터공간 / 모든 코시 수열이 수렴하는 노름공간 / 해석학에서 쓰이는 완비 노름 선형공간
Vietnamese Meaning
Không gian vectơ có chuẩn hoàn chỉnh. / Không gian có chuẩn trong đó mọi dãy Cauchy đều hội tụ.
Tagalog Meaning
Normadong bektor na espasyo na kumpleto; lahat ng sunud-sunod na Cauchy ay nagko-converge. / Kumpletong normadong espasyo ng bektor sa analisis matematikal.
Sense（1）
(mathematical analysis) Banach space - a normed vector space which is complete, in the sense that Cauchy sequences converge
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Quizzes for review
(mathematical analysis) Banach space - a normed vector space which is complete, in the sense that Cauchy sequences converge
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バナッハ空間
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The theory of Banach spaces plays an important role in many fields of mathematics.
The theory of Banach spaces plays an important role in many fields of mathematics.
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バナッハ空間の理論は、数学の多くの分野で重要な役割を果たしています。
Japanese - English
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