Weak and strong convergence of amarts in Frechet spaces

DOI10.1016/0047-259X(82)90021-5zbMath0485.60003MaRDI QIDQ1164305

Leo Egghe

Publication date: 1982

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

zbMATH Keywords

nuclearityFrechet spaceamart propertiesasymptotic martingaleweak amartweak sequential amart

Mathematics Subject Classification ID

Probability measures on topological spaces (60B05) Generalizations of martingales (60G48) Spaces defined by inductive or projective limits (LB, LF, etc.) (46A13) Locally convex Fréchet spaces and (DF)-spaces (46A04) Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.) (46A11) Reflexivity and semi-reflexivity (46A25)

Related Items (3)

Summability and amarts of finite order in Fréchet spaces ⋮ Unnamed Item ⋮ Stability and convergence of amarts in Fréchet spaces

Cites Work

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• Characterizations of nuclearity in Frechet spaces
• Amarts: A class of asymptotic martingales. A: Discrete parameter
• The Radon-Nikodym-property, \(\sigma\)-dentability and martingales in locally convex spaces
• A Characterization of Banach Spaces Containing l ¹
• On convergence of vector-valued asymptotic martingales
• A Geometric Characterization of Frechet Spaces with the Radon-Nikodym Property
• The riesz decomposition for vector-valued amarts
• On vector-valued asymptotic martingales
• Martingales in the Limit and Amarts
• Several stability properties of the class of asymptotic martingales

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