β Scribed by Wolfgang Arendt, Annette Grabosch, GΓΌnther Greiner, Ulrich Moustakas, Rainer Nagel, Ulf Schlotterbeck, Ulrich Groh, Heinrich P. Lotz, Frank Neubrander (auth.), Rainer Nagel (eds.)
No coin nor oath required. For personal study only.
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.
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
Algebra
π SIMILAR VOLUMES
<P>In this book, non-spectral methods are presented and discussed that have been developed over the last two decades for the investigation of asymptotic behavior of operator semigroups. This concerns in particular Markov semigroups in L<SUP>1</SUP>-spaces, motivated by applications to probability th
The theory of semigroups of operators was initiated by E. Hille in his monograph ``Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications
The theory of semigroups of operators was initiated by E. Hille in his monograph ``Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications
The theory of semigroups of operators was initiated by E. Hille in his monograph ``Functional Analysis and Semigroups'' which appeared in 1948. In the years thereafter the theory was developed further by W. Feller, T. Kato, R.S. Phillips, K. Yosida and many others. The possible range of applications