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The adjoint of a semigroup of linear operators /

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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,...

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Bibliographic Details
Main Author: Neerven, Jan van, 1964-
Corporate Author: SpringerLink (Online service)
Format: eBook
Language:English
Published: Berlin ; New York : Springer-Verlag, [1992]
Series:Lecture notes in mathematics (Springer-Verlag) ; 1529.
Subjects:
Semigroups of operators.
Linear operators.
Semi-groupe adjoint.
perturbation.
Théorème Wiener-Young.
Semi-groupe positif.
Classe Favard.
Théorème Eberlein-Shmulyan.
Semi-groupes d'opérateurs.
Opérateurs linéaires.
Semigroupes d'opérateurs.
Adjungierte Halbgruppe.
Linearer Operator.
Electronic books.
Online Access:Connect to the full text of this electronic book
Description
Summary: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.
Item Description:An expanded version of the author's thesis (Ph. D.)--Leiden, 1992.
Electronic resource.
Physical Description:1 online resource (x, 194 pages)
Format:Master and use copy. Digital master created according to Benchmark for Faithful Digital Reproductions of Monographs and Serials, Version 1. Digital Library Federation, December 2002.
Bibliography:Includes bibliographical references (pages [185]-190) and index.
ISBN:9783540474975 (electronic bk.)
3540474978 (electronic bk.)
ISSN:0075-8434 ;