One-parameter semigroups of positive operators / R. Nagel
Type de document : Livre numériqueCollection : Lecture notes in mathematics, 1184Langue : anglais.Éditeur : Berlin : Springer-Verlag, 1986ISBN: 9783540164548.ISSN: 1617-9692.Sujet MSC : 47D03, Operator theory - Groups and semigroups of linear operators, their generalizations and applications, Groups and semigroups of linear operators47B60, Operator theory - Special classes of linear operators, Linear operators on ordered spaces
46B42, Functional analysis - Normed linear spaces and Banach spaces; Banach lattices, Banach lattices
34G10, Ordinary differential equations - Differential equations in abstract spaces, Linear differential equations
47C15, Operator theory - Individual linear operators as elements of algebraic systems, Operators in C*- or von Neumann algebrasEn-ligne : Springerlink | Zentralblatt | MathSciNet
... In the reviewer's opinion the authors have done a marvelous job in bringing together the general theory for strongly continuous positive semigroups. The work contains many examples and gives a nice interplay between Banach lattices, positive operators and generators of positive semigroups. Overlap with existing books on operator semigroups is kept to a minimum. (It is perhaps worthwhile mentioning that the book under review has some, although not very much, overlap with the more recent book One parameter semigroups by Ph. Clément , H. J. A. M. Heijmans , S. Angenent et al. [North-Holland, Amsterdam, 1987].) The book is well written and well documented. A prerequisite is a basic knowledge of functional analysis and operator theory. (MathSciNet)
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