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Noun Concept
Categories: Articles containing proofs, Theorems in functional analysis, Wikipedia articles incorporating text from PlanetMath
EN
open mapping theorem  Banach-Schauder theorem  Banach–Schauder theorem
EN
In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem, is a fundamental result which states that if a bounded or continuous linear operator between Banach spaces is surjective then it is an open map. Wikipedia
English:
functional analysis
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EN
In functional analysis, the open mapping theorem, also known as the Banach–Schauder theorem or the Banach theorem, is a fundamental result which states that if a bounded or continuous linear operator between Banach spaces is surjective then it is an open map. Wikipedia
States that a surjective continuous linear transformation of a Banach space X onto a Banach space Y is an open mapping Wikipedia Disambiguation
Theorem that surjective continuous operators on Banach spaces are open maps Wikidata
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