One-parameter semigroups of positive operators.(English)Zbl 0585.47030

Lecture Notes in Mathematics. 1184. Berlin etc.: Springer-Verlag. X, 460 p. DM 64.00 (1986).
This book contains a complete and exhaustive treatment of the whole theory subsumable under the title of the book. More precisely the three subjects
(i) ”Characterization of the generator of semigroups having special properties (such as the positivity preserving property)”,
(ii) ”Spectral theory”, and
(iii) ”Asymptotic behaviour of semigroups”
are treated in various settings such as Banach spaces, Banach lattices, Spaces of type $$C_ 0(X)$$, and Operator algebras.
The book contains the most recent and important results in this field. Thus it is indispensable for further research.
Reviewer: M.Wolff

MathOverflow Questions:

Strong positivity of Neumann Laplacian

MSC:

 47D03 Groups and semigroups of linear operators 47-02 Research exposition (monographs, survey articles) pertaining to operator theory 47B60 Linear operators on ordered spaces 47-06 Proceedings, conferences, collections, etc. pertaining to operator theory 00Bxx Conference proceedings and collections of articles 46B42 Banach lattices 34G10 Linear differential equations in abstract spaces 47C15 Linear operators in $$C^*$$- or von Neumann algebras
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