A generalization of the Riesz representation theorem to infinite dimensions

DOI10.1006/jfan.1997.3143zbMath0897.46031OpenAlexW1985456724MaRDI QIDQ1375924

Yuh-Jia Lee

Publication date: 21 January 1998

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1006/jfan.1997.3143

zbMATH Keywords

signed measurebounded linear functionalnuclear spaceWeierstrass approximation theoremchain of Hilbert spacescomplete countably normed spaceRiesz representation theorem to infinite dimensions

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Measures and integration on abstract linear spaces (46G12) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Probability theory on linear topological spaces (60B11)

Related Items (1)

THE RIESZ REPRESENTATION THEOREM ON INFINITE DIMENSIONAL SPACES AND ITS APPLICATIONS

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