Lebesgue-type spaces for vector integration, linear operators, weak completeness and weak compactness
نویسندگان
چکیده
منابع مشابه
Conditional and Relative Weak Compactness in Vector-Valued Function Spaces
Let E be an ideal of Lo over a σ-finite measure space (Ω,Σ, μ), and let (X, ‖ ·‖X) be a real Banach space. Let E(X) be a subspace of the space Lo(X) of μ-equivalence classes of all strongly Σ-measurable functions f : Ω −→ X and consisting of all those f ∈ Lo(X) for which the scalar function ‖f(·)‖X belongs to E. Let E(X)n stand for the order continuous dual of E(X). In this paper we characteriz...
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ژورنال
عنوان ژورنال: Journal of Mathematical Analysis and Applications
سال: 1976
ISSN: 0022-247X
DOI: 10.1016/0022-247x(76)90207-9