Vol. 24, No. 3, 1968

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A note on left multiplication of semigroup generators

Karl Edwin Gustafson

Vol. 24 (1968), No. 3, 463–465
Abstract

It is shown in this note that if A is the infinitesimal generator of a strongly continuous semigroup of contraction operators in any Banach space X, then so is BA for a broad class of bounded operators B; the only requirement on B is that it transforms “in the right direction”.

Mathematical Subject Classification
Primary: 47.50
Milestones
Received: 3 April 1967
Revised: 11 July 1967
Published: 1 March 1968
Authors
Karl Edwin Gustafson