Cauchy-Stieltjes Integral on Time Scales in Banach Spaces and Hysteresis Operators

dc.contributorUniversidade Estadual Paulista (Unesp)
dc.date.accessioned2014-05-20T13:30:38Z
dc.date.available2014-05-20T13:30:38Z
dc.date.created2014-05-20T13:30:38Z
dc.date.issued2012-01-01
dc.identifier9th International Conference on Mathematical Problems In Engineering, Aerospace and Sciences (icnpaa 2012). Melville: Amer Inst Physics, v. 1493, p. 88-90, 2012.
dc.identifier0094-243X
dc.identifierhttp://hdl.handle.net/11449/10397
dc.identifier10.1063/1.4765474
dc.identifierWOS:000312264400014
dc.identifier3916521784535081
dc.identifier8544475466862991
dc.description.abstractThe play operator has a fundamental importance in the theory of hysteresis. It was studied in various settings as shown by P. Krejci and Ph. Laurencot in 2002. In that work it was considered the Young integral in the frame of Hilbert spaces. Here we study the play in the frame of the regulated functions (that is: the ones having only discontinuities of the first kind) on a general time scale T (that is: with T being a nonempty closed set of real numbers) with values in a Banach space. We will be showing that the dual space in this case will be defined as the space of operators of bounded semivariation if we consider as the bilinearity pairing the Cauchy-Stieltjes integral on time scales.
dc.languageeng
dc.publisherAmer Inst Physics
dc.relation9th International Conference on Mathematical Problems In Engineering, Aerospace and Sciences (icnpaa 2012)
dc.rightsAcesso aberto
dc.sourceWeb of Science
dc.subjectPlant operator
dc.subjecttime scales
dc.subjectrepresentation of linear operators
dc.subjecthysteresis
dc.titleCauchy-Stieltjes Integral on Time Scales in Banach Spaces and Hysteresis Operators
dc.typeActas de congresos


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