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Uniform boundedness principle
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==Bibliography== * {{citation|last1=Banach |first1=Stefan |author-link1=Stefan Banach | last2=Steinhaus|first2=Hugo |author-link2=Hugo Steinhaus | url=http://matwbn.icm.edu.pl/ksiazki/fm/fm9/fm918.pdf |title=Sur le principe de la condensation de singularités |journal=[[Fundamenta Mathematicae]]| volume=9| pages=50–61 |year=1927 |doi=10.4064/fm-9-1-50-61 |doi-access=free}}. {{in lang|fr}} * {{Banach Théorie des Opérations Linéaires}} <!-- {{sfn|Banach|1932|p=}} --> * {{Bourbaki Topological Vector Spaces Part 1 Chapters 1–5}} <!-- {{sfn|Bourbaki|1987|p=}} --> * {{citation|last=Dieudonné|first=Jean |author-link=Jean Dieudonné| title=Treatise on analysis, Volume 2| year=1970| publisher=Academic Press}}. * {{Husain Khaleelulla Barrelledness in Topological and Ordered Vector Spaces}} <!-- {{sfn|Husain|Khaleelulla|1978|p=}} --> * {{Khaleelulla Counterexamples in Topological Vector Spaces}} <!-- {{sfn|Khaleelulla|1982|p=}} --> * {{Narici Beckenstein Topological Vector Spaces|edition=2}} <!-- {{sfn|Narici|Beckenstein|2011|p=}} --> * {{citation|last=Rudin|first=Walter |author-link=Walter Rudin|title=Real and complex analysis|publisher=McGraw-Hill| year=1966}}. * {{Rudin Walter Functional Analysis|edition=2}} <!-- {{sfn|Rudin|1991|p=}} --> * {{Schaefer Wolff Topological Vector Spaces|edition=2}} <!-- {{sfn|Schaefer|Wolff|1999|p=}} --> * {{Schechter Handbook of Analysis and Its Foundations}} <!-- {{sfn|Schechter|1996|p=}} --> * {{springer|Banach–Steinhaus theorem| first=A.I.|last=Shtern| year=2001| id=b/b015200}}. * {{citation| last=Sokal| first=Alan| author-link=Alan Sokal| title=A really simple elementary proof of the uniform boundedness theorem| journal=[[Amer. Math. Monthly]]| volume=118| pages=450–452| year=2011| issue=5| arxiv=1005.1585| doi=10.4169/amer.math.monthly.118.05.450| s2cid=41853641}}. * {{Trèves François Topological vector spaces, distributions and kernels}} <!-- {{sfn|Trèves|2006|p=}} --> * {{Wilansky Modern Methods in Topological Vector Spaces|edition=1}} <!-- {{sfn|Wilansky|2013|p=}} --> {{Functional analysis}} {{Topological vector spaces}} {{Boundedness and bornology}} [[Category:Articles containing proofs]] [[Category:Functional analysis]] [[Category:Mathematical principles]] [[Category:Theorems in functional analysis]]
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