"Banach space" meaning in English

See Banach space in All languages combined, or Wiktionary

Noun

Forms: Banach spaces [plural]
Etymology: Named after Polish mathematician Stefan Banach (1892–1945). Etymology templates: {{named-after/list|mathematician||||}} mathematician, {{!}} |, {{lang|en|Stefan Banach}} Stefan Banach, {{named-after|en|Stefan Banach|born=1892|died=1945|nat=Polish|occ=mathematician|wplink==}} Named after Polish mathematician Stefan Banach (1892–1945) Head templates: {{en-noun}} Banach space (plural Banach spaces)
  1. (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. Wikipedia link: Banach space Categories (topical): Functional analysis Related terms: Hilbert space Translations (complete normed vector space): Banach-ruimte (Afrikaans), 巴拿赫空間 (Chinese Mandarin), 巴拿赫空间 (Bānáhè kōngjiān) (Chinese Mandarin), Banachrum [neuter] (Danish), espace de Banach [masculine] (French), Banach-Raum [masculine] (German), Banach-tér (Hungarian), spazio di Banach (Italian), バナッハ空間 (Banahha-kūkan) (Japanese), przestrzeń Banacha [feminine] (Polish), spațiu Banach [neuter] (Romanian), ба́нахово простра́нство (bánaxovo prostránstvo) [neuter] (Russian), Банацхов про́стор [Cyrillic, masculine] (Serbo-Croatian), Banachov próstor [Roman, masculine] (Serbo-Croatian), Banachrum [neuter] (Swedish)

Inflected forms

Download JSON data for Banach space meaning in English (5.3kB)

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