Okada, Susumu; Ricker, Werner J. Criteria for determining compactness of the integration operator associated with a vector measure. (English) Zbl 1023.28007 Tatra Mt. Math. Publ. 24, No. 2, 175-188 (2002). There are established criteria for determining whether or not the integration operator, defined by a given particular vector measure, is compact. It is presented a method for constructing both compact and non-compact integration operators associated with an \(\ell \)-valued vector measure. Some examples are given where such maps are important. Reviewer: Miloslav Duchoň (Bratislava) Cited in 3 Documents MSC: 28B05 Vector-valued set functions, measures and integrals 47B07 Linear operators defined by compactness properties 46G10 Vector-valued measures and integration Keywords:vector measure; variation operator; compact operator PDFBibTeX XMLCite \textit{S. Okada} and \textit{W. J. Ricker}, Tatra Mt. Math. Publ. 24, No. 2, 175--188 (2002; Zbl 1023.28007)