The Adjoint of a Semigroup of Linear Operators

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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Wedi'i Gadw mewn:
Manylion Llyfryddiaeth
Prif Awdur: Neerven, Jan van, 1964-
Fformat: Livre numérique
Iaith:Anglais
Cyhoeddwyd: Berlin [etc.] : Springer [20..].
Cham : Springer Nature
Cyfres:Lecture notes in mathematics 1529
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Edition sous un autre format:• The adjoint of a semigroup of linear operators, Jan van Neerven, 1992, Berlin, Springer-Verlag, 1 volume (194 pages), Lecture notes in mathematics, 0-387-56260-5
• The Adjoint of a Semigroup of Linear Operators, Texte imprimé, 9783662189863
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Crynodeb: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.
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ISBN:9783540474975 (PDF)
ISSN:1617-9692
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