Extensions of certain compact operators on vector-valued continuous functions
نویسندگان
چکیده
منابع مشابه
Nuclear Operators on Spaces of Continuous Vector-Valued Functions
Abstract Let Ω be a compact Hausdorff space, let E be a Banach space, and let C(Ω, E) stand for the Banach space of all E-valued continuous functions on Ω under supnorm. In this paper we study when nuclear operators on C(Ω, E) spaces can be completely characterized in terms of properties of their representing vector measures. We also show that if F is a Banach space and if T : C(Ω, E) → F is a ...
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Let X be a compact Hausdorff space, let E be a Banach space, and let C(X,E) stand for the Banach space of E-valued continuous functions on X under the uniform norm. In this paper we characterize Integral operators (in the sense of Grothendieck) on C(X,E) spaces in term of their representing vector measures. This is then used to give some applications to Nuclear operators on C(X,E) spaces. AMS(M...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 1988
ISSN: 0002-9939
DOI: 10.1090/s0002-9939-1988-0920984-7