## Properties of the Preisach Model for Hysteresis

• As shown by Krasnosel" skii, the classical Preisach model allows to construct a hysteresis operator Wbetween spaces of real functions of time. This construction, via the definition of a measure mü in the so-called Preisach plane, is recalled. Characterizations in terms of mü are given for several mapping and continuity properties of W in various function spaces, for the invertibility of W and for the corresponding mapping and continuity properties of the inverse.

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Author: Martin Brokate, A. Visintin urn:nbn:de:hbz:386-kluedo-6324 Berichte der Arbeitsgruppe Technomathematik (AGTM Report) (30) Preprint English 1988 1988 Technische Universität Kaiserslautern 2000/06/28 Fachbereich Mathematik 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik Standard gemäß KLUEDO-Leitlinien vor dem 27.05.2011

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