NDLI: Integral Operators on Spaces of Continuous Vector-Valued Functions

Content Provider	Scilit
Author	Saab, Paulette
Copyright Year	1991
Description	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 terms of their representing vector measures. This is then used to give some applications to nuclear operators on $C(X,E)$ spaces.
Related Links	https://www.ams.org/proc/1991-111-04/S0002-9939-1991-1039263-5/S0002-9939-1991-1039263-5.pdf
Ending Page	1013
Page Count	11
Starting Page	1003
ISSN	00029939
e-ISSN	10886826
DOI	10.2307/2048567
Journal	Proceedings of the American Mathematical Society
Issue Number	4
Volume Number	111
Language	English
Publisher	Duke University Press
Publisher Date	1991-04-01
Access Restriction	Open
Subject Keyword	Logic Functions Banach Space Compact Norm Hausdorff Give Uniform Stand Grothendieck
Content Type	Text
Resource Type	Article
Subject	Applied Mathematics

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Integral Operators on Spaces of Continuous Vector-Valued Functions