PERTURBATIONS OF SEMIGROUPS

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1985 English Publisher:Oxford University Press (OUP)Journal:The Quarterly Journal of Mathematics, volume 36, pages 315-324 (issn: 0033-5606, eissn: 1464-3847,

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Authors: Johnson, Barry Edward;

doi: 10.1093/qmath/36.3.315

PERTURBATIONS OF SEMIGROUPS

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Abstract

This paper (written in a remarkable clear style) answers to a reciprocal problem of the classical perturbation one. Given two semigroups \(S_ t\) (with the generator A) and \(T_ t\) with the restriction \(\| S_ t- T_ t\| /t\) bounded when \(t\to 0^+\), there exists a linear bounded operator B such that the semigroup generated by \(A+B\) is exactly \(T_ t\).

Related Organizations

Newcastle University
United Kingdom

Keywords

Groups and semigroups of linear operators, Perturbation theory of linear operators

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