Hilbertian support of probability measures on locally convex spaces and their applications

DOI10.14492/hokmj/1381758113zbMath0469.46032OpenAlexW2156357745MaRDI QIDQ1156974

Yasuji Takahashi

Publication date: 1981

Published in: Hokkaido Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.14492/hokmj/1381758113

zbMATH Keywords

probability measureFrechet spaceBanach supportcomplete countably script Lp-spaceHilbertian support

Mathematics Subject Classification ID

Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Measures and integration on abstract linear spaces (46G12) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Set functions and measures and integrals in infinite-dimensional spaces (Wiener measure, Gaussian measure, etc.) (28C20) Other ``topological linear spaces (convergence spaces, ranked spaces, spaces with a metric taking values in an ordered structure more general than (mathbb{R}), etc.) (46A19)

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