Compactness in spaces of p-integrable functions with respect to a vector measure
نویسندگان
چکیده
منابع مشابه
SPACES OF INTEGRABLE FUNCTIONS WITH RESPECT TO VECTOR MEASURES OF CONVEX RANGE AND FACTORIZATION OF OPERATORS FROM Lp-SPACES
Let (Ω,Σ) be a measurable space and let X be a Banach space. Throughout this paper G will be a countably additive vector measure G : Σ → X. Consider the space L1(G) of (classes of real) G-integrable functions, following the definition of Bartle, Dunford and Schwartz [1] and Lewis [9]. The properties of this space have been studied by Kluvánek and Knowles [7], Okada [10] and Curbera [2]. In the ...
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ژورنال
عنوان ژورنال: Topological Methods in Nonlinear Analysis
سال: 2015
ISSN: 1230-3429
DOI: 10.12775/tmna.2015.030