One-parameter Semigroups of Positive Operators

Wolfgang Arendt, Annette Grabosch, Günther Greiner, Ulrich Moustakas, Rainer Nagel, Ulf Schlotterbeck, Ulrich Groh, Heinrich P. Lotz, Frank Neubrander (auth.), Rainer Nagel (eds.)9780387164540, 0-387-16454-5

The book is organized as follows. We concentrate our attention on three subjects of semigroup theory: characterization, spectral theory and asymptotic behavior. By characterization , we understand the problem of describing special properties of a semigroup, such as positivity, through the generator. By spectral theory we mean the investigation of the spectrum of a generator. Asymptotic behavior refers to the orbits of the initial values under a given semigroup and phenomena such as stability.

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Table of contents :
Basic results on semigroups on banach spaces….Pages 1-24
Characterization of semigroups on banach spaces….Pages 25-59
Spectral theory….Pages 60-97
Asymptotics of semigroups on banach spaces….Pages 98-116
Basic results on spaces C o (X)….Pages 117-121
Characterization of positive semigroups on C o (X)….Pages 122-162
Spectral theory of positive semigroups on C o (X)….Pages 163-203
Asymptotics of positive semigroups on C o (X)….Pages 204-232
Basic results on banach lattices and positive operators….Pages 233-246
Characterization of positive semigroups on banach lattices….Pages 247-291
Spectral theory of positive semigroups on banach lattices….Pages 292-332
Asymptotics of positive semigroups on banach lattices….Pages 333-367
Basic results on semigroups and operator algebras….Pages 369-375
Characterization of positive semigroups on w * -algebras….Pages 376-378
Spectral theory of positive semigroups on w * -algebras and their preduals….Pages 379-399
Asymptotics of positive semigroups on c * -and w * -algebras….Pages 400-425