## Functions of bounded semivariation and countably additive vector measures

• In the Banach space co there exists a continuous function of bounded semivariation which does not correspond to a countably additive vector measure. This result is in contrast to the scalar case, and it has consequences for the characterization of scalar-type operators. Besides this negative result we introduce the notion of functions of unconditionally bounded variation which are exactly the generators of countably additive vector measures.

Author: Peter Vieten urn:nbn:de:hbz:386-kluedo-7929 Preprints (rote Reihe) des Fachbereich Mathematik (297) Preprint English 1997 1997 Technische Universität Kaiserslautern 2000/04/03 Function of bounded variation ; Integral transform zusammen mit L. Weis, in: LSU Seminar Notes in Functional Analysis and PDE" s 1992/93, Baton Rouge(1993). Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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