Adjoint of a Semigroup of Linear Operators

This monograph provides a systematic treatment of theabstract theory of adjoint semigroups. After presenting thebasic elementary results, the following topics are treatedin detail: The sigma (X, X )-topology, -reflexivity, theFavard class, Hille-Yosida operators, interpolation andextrapolation, weak -continuous semigroups, the codimensionof X in X , adjoint semigroups and the Radon-Nikodymproperty, tensor products of semigroups and duality,positive semigroups and multiplication semigroups. The major part of the material is reasonably self-containedand is accessible to anyone with basic knowledge of semi-group theory and Banach space theory. Most of the resultsare proved in detail. The book is addressed primarily toresearchers working in semigroup theory, but in view of the"e;Banach space theory"e; flavour of many of the results, itwill also be of interest to Banach space geometers andoperator theorists.