Subordinated discrete semigroups of operators

Simple item page
dc.creatorDungey, Nick
dc.date2008-01-29
dc.date.accessioned2026-07-07T08:57:09Z
dc.date.available2026-07-07T08:57:09Z
dc.descriptionGiven a power-bounded linear operator T in a Banach space and a probability F on the non-negative integers, one can form a `subordinated' operator S = \sum_k F(k) T^k. We obtain asymptotic properties of the subordinated discrete semigroup (S^n: n=1,2,...) under certain conditions on F. In particular, we study probabilities F with the property that S satisfies the Ritt resolvent condition whenever T is power-bounded. Examples and counterexamples of this property are discussed. The hypothesis of power-boundedness of T can sometimes be replaced by the weaker Kreiss resolvent condition.
dc.description28 pages
dc.identifierhttps://arxiv.org/abs/0801.4557
dc.identifierhttp://arxiv.org/abs/0801.4557
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/146858
dc.subjectFunctional Analysis
dc.subjectProbability
dc.subject47A30; 60G50
dc.titleSubordinated discrete semigroups of operators
dc.typetext

Files

Collections

arXiv