The Adjoint of a Semigroup of Linear Operators (Lecture Notes in Mathematics, 1529)

Neerven, Jan Van

ISBN 10: 3540562605 / ISBN 13: 9783540562603

Editore: Springer, 1992

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Dati bibliografici

• Titolo: The Adjoint of a Semigroup of Linear Operators (Lecture Notes in Mathematics, 1529)
• Editore: Springer
• Data di pubblicazione: 1992
• Lingua: Inglese
• ISBN 10: 3540562605
• ISBN 13: 9783540562603
• Rilegatura: Brossura
• Condizione: New

Descrizione articolo

Riassunto

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"Banach space theory" flavour of many of the results, itwill also be of interest to Banach space geometers andoperator theorists.

Contenuti

The adjoint semigroup.- The ?(X,X?)-topology.- Interpolation, extrapolation and duality.- Perturbation theory.- Dichotomy theorems.- Adjoint semigroups and the RNP.- Tensor products.- The adjoint of a positive semigroup.