UID:
almahu_9947921570602882
Format:
X, 198 p.
,
online resource.
ISBN:
9783540474975
Series Statement:
Lecture Notes in Mathematics, 1529
Content:
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.
Note:
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.
In:
Springer eBooks
Additional Edition:
Printed edition: ISBN 9783540562603
Language:
English
Subjects:
Mathematics
Keywords:
Hochschulschrift
URL:
http://dx.doi.org/10.1007/BFb0085008
URL:
Volltext
(lizenzpflichtig)
URL:
Volltext
(Deutschlandweit zugänglich)
