Summability and amarts of finite order in Fréchet spaces
Copyright policy )Summability and amarts of finite order in Fréchet spaces
Vector-valued asymptotic martingales (amarts) in locally convex spaces are studied, especially amarts of finite order are extended to Fréchet spaces. This concept yields a new characterization of absolutely summing operators in Fréchet spaces and together with results of A. Pietsch a new characterization of nuclear Fréchet spaces.
- Institute of Mathematics Viet Nam
characterization of absolutely summing operators in Fréchet spaces, Vector-valued asymptotic martingales, amarts of finite order, Summability and bases in topological vector spaces, Generalizations of martingales, Locally convex Fréchet spaces and (DF)-spaces, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), Spaces defined by inductive or projective limits (LB, LF, etc.), nuclear Fréchet spaces, Fréchet spaces
characterization of absolutely summing operators in Fréchet spaces, Vector-valued asymptotic martingales, amarts of finite order, Summability and bases in topological vector spaces, Generalizations of martingales, Locally convex Fréchet spaces and (DF)-spaces, Spaces determined by compactness or summability properties (nuclear spaces, Schwartz spaces, Montel spaces, etc.), Spaces defined by inductive or projective limits (LB, LF, etc.), nuclear Fréchet spaces, Fréchet spaces
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