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An inequality concerning the growth bound of a discrete evolution family on a complex banach space

dc.contributor.authorBuşe, Constantin
dc.contributor.authorO’Regan, Donal
dc.contributor.authorSaierli, Olivia
dc.date.accessioned2018-09-20T16:02:12Z
dc.date.available2018-09-20T16:02:12Z
dc.date.issued2016-03-21
dc.identifier.citationBuşe, Constantin; O’Regan, Donal; Saierli, Olivia (2016). An inequality concerning the growth bound of a discrete evolution family on a complex banach space. Journal of Difference Equations and Applications 22 (7), 904-912
dc.identifier.issn1023-6198,1563-5120
dc.identifier.urihttp://hdl.handle.net/10379/10623
dc.description.abstractWe prove that the uniform growth bound omega(0)(U) of a discrete evolution family U of bounded linear operators acting on a complex Banach space X satisfies the inequality omega(0)(U)c(U)(X) <= -1; here c(U)(X) is the operator norm of a convolution operator which acts on a certain Banach space X of X-valued sequences.
dc.publisherInforma UK Limited
dc.relation.ispartofJournal of Difference Equations and Applications
dc.rightsAttribution-NonCommercial-NoDerivs 3.0 Ireland
dc.rights.urihttps://creativecommons.org/licenses/by-nc-nd/3.0/ie/
dc.subjectuniform exponential stability
dc.subjectgrowth bounds
dc.subjectexponentially bounded evolution families of operators
dc.subjectconvolution operator on sequence spaces
dc.subjectexponential stability
dc.subjectsemigroup
dc.subjectoperators
dc.subjectequations
dc.titleAn inequality concerning the growth bound of a discrete evolution family on a complex banach space
dc.typeArticle
dc.identifier.doi10.1080/10236198.2016.1162160
dc.local.publishedsourcehttp://arxiv.org/pdf/1603.09579
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