Last Updated
：2025/11/21
Banach space
Noun
Japanese Meaning
バナッハ空間：ノルム付き線形空間のうち、ノルムによる距離で完備性を有する空間。つまり、コーシー列が常にその空間内のある点に収束する。
（ plural ）
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(functional analysis) A normed vector space which is complete with respect to the norm, meaning that Cauchy sequences have well-defined limits that are points in the space.
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When solving the partial differential equation, we worked in a Banach space to ensure that Cauchy sequences converge within the space.
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When solving the partial differential equation, we worked in a Banach space to ensure that Cauchy sequences converge within the space.
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