Semigroups of Operators and Spectral Theory: 330 (Chapman & Hall/CRC Research Notes in Mathematics Series) - Softcover

Kantorovitz, S

Softcover

ISBN 10: 0582277787 ISBN 13: 9780582277786

Publisher: Chapman and Hall/CRC, 1995

Synopsis

This book presents some aspects of the theory of semigroups of operators, mostly from the point of view of its interaction withspectral theory. In order to make it self-contained, a concise description of the basic theory of semigroups, with complete proofs, is included in Part I. Some of the author's recent results, such as the construction of the Hille-Yosida space for general operators, the semi-simplicity manifold, and a Taylor formula for semigroups as functions of their generator, are also included in Part I. Part II describes recent generalizations (most of them in bookform for the first time), including pre-semigroups, semi-simplicity manifolds in situations more general than that considered in Part I, semigroups of unbounded symmetric operators, and an analogous result on "local cosine families" and semi-analytic vectors. It is hoped that this book will inspire more research in this field. This book will be of particular interest to graduate students and researchers working operator theory and its applications.

Edition details

• Publisher: Chapman and Hall/CRC
• Publication date: 1995
• Language: English
• ISBN 10: 0582277787
• ISBN 13: 9780582277786
• Binding: Paperback
• Edition number: 1
• Number of pages: 152