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Riesz representation theorem
(section)
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==Bibliography== * {{Bachman Narici Functional Analysis 2nd Edition}} <!--{{sfn|Bachman|Narici|2000|p=}}--> * {{cite journal|last=Fréchet|first=M.|year=1907|title=Sur les ensembles de fonctions et les opérations linéaires|journal=[[Les Comptes rendus de l'Académie des sciences]]|volume=144|page=1414–1416|url=https://gallica.bnf.fr/ark:/12148/bpt6k3098j/f1414.image|language=fr}} * [[P. Halmos]] ''Measure Theory'', D. van Nostrand and Co., 1950. * P. Halmos, ''A Hilbert Space Problem Book'', Springer, New York 1982 ''(problem 3 contains version for vector spaces with coordinate systems)''. * {{cite journal|last=Riesz|first=F.|year=1907|title=Sur une espèce de géométrie analytique des systèmes de fonctions sommables|journal=Comptes rendus de l'Académie des Sciences|volume=144|page=1409–1411|url=https://gallica.bnf.fr/ark:/12148/bpt6k3098j/f1409.image|language=fr}} * {{cite journal|last=Riesz|first=F.|year=1909|title=Sur les opérations fonctionnelles linéaires|journal=Comptes rendus de l'Académie des Sciences|volume=149|page=974–977|url=https://gallica.bnf.fr/ark:/12148/bpt6k3103r/f976.image|language=fr}} *{{citation | last=Roman | first=Stephen | title=Advanced Linear Algebra | edition=Third | series=[[Graduate Texts in Mathematics]] | publisher = Springer | date=2008| pages= | isbn=978-0-387-72828-5 |author-link=Steven Roman}} * {{Rudin Walter Functional Analysis|edition=2}} <!-- {{sfn|Rudin |1991|p=}} --> * Walter Rudin, ''Real and Complex Analysis'', McGraw-Hill, 1966, {{isbn|0-07-100276-6}}. * {{Trèves François Topological vector spaces, distributions and kernels}} <!-- {{sfn|Trèves|2006|p=}} --> {{Functional analysis}} {{Hilbert space}} [[Category:Articles containing proofs]] [[Category:Duality theories]] [[Category:Hilbert spaces]] [[Category:Integral representations]] [[Category:Linear functionals]] [[Category:Theorems in functional analysis]]
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