Topics in Operator Semigroups: 281 (Progress in Mathematics) - Hardcover

Kantorovitz, Shmuel

Hardcover

ISBN 10: 081764931X ISBN 13: 9780817649319

Verlag: Birkhäuser, 2009

Inhaltsangabe

This monograph is concerned with the interplay between the theory of operator semigroups and spectral theory. The basics on operator semigroups are concisely covered in this self-contained text. Part I deals with 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. Part II explores generalizations of spectral theory’s connection to operator semigroups.

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Über die Autorin bzw. den Autor

Charlotte y Peter Fiell son dos autoridades en historia, teoría y crítica del diseño y han escrito más de sesenta libros sobre la materia, muchos de los cuales se han convertido en éxitos de ventas. También han impartido conferencias y cursos como profesores invitados, han comisariado exposiciones y asesorado a fabricantes, museos, salas de subastas y grandes coleccionistas privados de todo el mundo. Los Fiell han escrito numerosos libros para TASCHEN, entre los que se incluyen 1000 Chairs, Diseño del siglo XX, El diseño industrial de la A a la Z, Scandinavian Design y Diseño del siglo XXI.

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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.

Details zur Ausgabe

• Verlag: Birkhäuser
• Erscheinungsdatum: 2009
• Sprache: Englisch
• ISBN 10: 081764931X
• ISBN 13: 9780817649319
• Einband: Tapa dura
• Auflage: 1
• Anzahl der Seiten: 282
• Kontakt zum Hersteller: Nicht verfügbar
• Verantwortliche Person: Nicht verfügbar