M-Accretive Operators with M-Dispersive Resolvents

descriptionPublicationkeyboard_double_arrow_right Article 01 Oct 1984Publisher:JSTORJournal:Proceedings of the American Mathematical Society, volume 92, page 273 (issn: 0002-9939,

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Authors: De Laubenfels, Ralph;

doi: 10.2307/2045201

M-Accretive Operators with M-Dispersive Resolvents

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Abstract

Summary: We characterize linear m-accretive operators with m-dispersive resolvents. T is linear and m-accretive, with \((\lambda +T)^{-i}\) m- dispersive, if and only if the sequence \(^{\infty}_{n=0}\) equals the moments of a positive measure on the positive real line, for sufficiently many \(\phi\) in \(X^*\), x in X.

Keywords

linear m-accretive operators with m-dispersive resolvents, moments of a positive measure on the positive real line, Linear accretive operators, dissipative operators, etc.

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