The Adjoint of a Semigroup of Linear Operators

Jan Van Neerven

ISBN 10: 3540562605 / ISBN 13: 9783540562603

Published by Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 1992, 1992

About this Item

Neuware -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 dualitypositive semigroups and multiplication semigroups.The major part of the material is reasonably self-containedand is accessible to anyone with basic knowledge of semigroup 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'Banach space theory' flavour of many of the results, itwill also be of interest to Banach space geometers andoperator theorists.Springer Verlag GmbH, Tiergartenstr. 17, 69121 Heidelberg 208 pp. Englisch.

Seller Inventory # 9783540562603

Bibliographic Details

• Title: The Adjoint of a Semigroup of Linear Operators
• Publisher: Springer Berlin Heidelberg, Springer Berlin Heidelberg Dez 1992
• Publication Date: 1992
• Language: English
• ISBN 10: 3540562605
• ISBN 13: 9783540562603
• Binding: Taschenbuch
• Condition: Neu

About this title

Synopsis

This monograph provides a systematic treatment of the abstract theory of adjoint semigroups. After presenting the basic elementary results, the following topics are treated in detail: The sigma (X, X )-topology, -reflexivity, the Favard class, Hille-Yosida operators, interpolation and extrapolation, weak -continuous semigroups, the codimension of X in X , adjoint semigroups and the Radon-Nikodym property, tensor products of semigroups and duality, positive semigroups and multiplication semigroups. The major part of the material is reasonably self-contained and is accessible to anyone with basic knowledge of semi- group theory and Banach space theory. Most of the results are proved in detail. The book is addressed primarily to researchers working in semigroup theory, but in view of the "Banach space theory" flavour of many of the results, it will also be of interest to Banach space geometers and operator theorists.