Topics in Operator Semigroups
The theory of operator semigroups was essentially discovered in the early 1930s. Since then, the theory has developed into a rich and exciting area of functional analysis and has been applied to various mathematical topics such as Markov processes, the abstract Cauchy problem, evolution equations, a...
Bewaard in:
| Hoofdauteur: | |
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| Formaat: | Livre numérique |
| Taal: | Anglais |
| Gepubliceerd in: |
Boston, MA :
Birkhäuser Boston
[20..].
Cham : Springer Nature |
| Editie: | 1st ed. 2010. |
| Reeks: | Progress in Mathematics
281 |
| Onderwerpen: | |
| Online toegang: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Opmerking: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Topics in operator semigroups, Shmuel Kantorovitz, 2010, Boston, Birkhäuser, 1 vol. (XIII-266 p.), Progress in mathematics, 978-0-8176-4931-9 • Topics in Operator Semigroups, Texte imprimé, 9780817649357 |
| Samenvatting: | The theory of operator semigroups was essentially discovered in the early 1930s. Since then, the theory has developed into a rich and exciting area of functional analysis and has been applied to various mathematical topics such as Markov processes, the abstract Cauchy problem, evolution equations, and mathematical physics. This self-contained monograph focuses primarily on the theoretical connection between the theory of operator semigroups and spectral theory. Divided into three parts with a total of twelve distinct chapters, this book gives an in-depth account of the subject with numerous examples, detailed proofs, and a brief look at a few applications. Topics include: * The Hille Yosida and Lumer Phillips characterizations of semigroup generators * The Trotter Kato approximation theorem * Kato s unified treatment of the exponential formula and the Trotter product formula * The Hille Phillips perturbation theorem, and Stone s representation of unitary semigroups * Generalizations of spectral theory s connection to operator semigroups * A natural generalization of Stone s spectral integral representation to a Banach space setting With a collection of miscellaneous exercises at the end of the book and an introductory chapter examining the basic theory involved, this monograph is suitable for second-year graduate students interested in operator semigroups |
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| Beschrijving item: | Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| ISBN: | 9780817649326 |
| ISSN: | 2296-505X |
| Toegang: | Accès en ligne pour les établissements français bénéficiaires des licences nationales Accès soumis à abonnement pour tout autre établissement Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 |