Stability and convergence of amarts in Fréchet spaces

DOI10.1007/BF01955027zbMath0571.60063MaRDI QIDQ1061416

Dinh Quang Luu

Publication date: 1985

Published in: Acta Mathematica Hungarica (Search for Journal in Brave)

zbMATH Keywords

Fréchet spaceRiesz decompositionnuclearityconvergence properties of amarts

Mathematics Subject Classification ID

Generalizations of martingales (60G48) Vector-valued set functions, measures and integrals (28B05) Stopping times; optimal stopping problems; gambling theory (60G40) General theory of locally convex spaces (46A03)

Related Items (2)

Summability and amarts of finite order in Fréchet spaces ⋮ Convergence and lattice properties of a class of martingale-like sequences

Cites Work

• Unnamed Item
• Weak and strong convergence of amarts in Frechet spaces
• 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
• Pettis mean convergence of vector-valued asymptotic martingales
• On vector-valued amarts and dimension of banach spaces
• Several stability properties of the class of asymptotic martingales

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