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Uniform boundedness principle

In mathematics, the uniform boundedness principle or Banach–Steinhaus theorem is one of the fundamental results in functional analysis. Together with the Hahn–Banach theorem and the open mapping theorem, it is considered one of the cornerstones of the field. In its basic form, it asserts that for a family of continuous linear operators (and thus bounded…

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Uniform boundedness principle

Nodes79
Edges78
Triples124
Avg. degree1.97
Density0.025316
Components1

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Uniform boundedness principle

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related to Bibliography · 103
Uniform boundedness principle → Academic Press, Alan, Albert, Amer, Analysis, Applied Mathematics, Archived, Banach, Barrelledness, Beckenstein, Berlin, Berlin New York, Boca Raton, Bourbaki, CA, Chapters, Counterexamples, CRC Press, Dieudonné, Distributions
related to Example: pointwise convergence of Fourier series · 9
Uniform boundedness principle → Banach, Dirichlet, Fix, For, Fourier, Let, N-th, The, Using
related to Barrelled spaces · 6
Uniform boundedness principle → Attempts, Bourbaki, Given, That, Theorem, Theorem III
related to Theorem · 5
Uniform boundedness principle → Banach, If, Let, Suppose, The
is a · 1
Uniform boundedness principle → barrelled space

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displaystyle space vector bounded theorem topological continuous sup banach uniform mathbb right boundedness every left set linear subseteq subset principle

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SubjectPredicateObjectConfidenceSrc
Uniform boundedness principleis abarrelled space0.90text
Uniform boundedness principlerelated to Barrelled spacesAttempts0.60section
Uniform boundedness principlerelated to Barrelled spacesThat0.60section
Uniform boundedness principlerelated to Barrelled spacesBourbaki0.60section
Uniform boundedness principlerelated to Barrelled spacesTheorem III0.60section
Uniform boundedness principlerelated to Barrelled spacesTheorem0.60section
Uniform boundedness principlerelated to Barrelled spacesGiven0.60section
Uniform boundedness principlerelated to BibliographyLock-green0.60section
Uniform boundedness principlerelated to BibliographyLock-gray-alt-20.60section
Uniform boundedness principlerelated to BibliographyLock-red-alt-20.60section
Uniform boundedness principlerelated to BibliographyWikisource-logo0.60section
Uniform boundedness principlerelated to BibliographyBanach0.60section

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