Semigroups Of Operators And Spectral Theory
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Semigroups of Operators and Spectral Theory
Author | : S Kantorovitz |
Publsiher | : CRC Press |
Total Pages | : 156 |
Release | : 1995-06-19 |
Genre | : Mathematics |
ISBN | : 0582277787 |
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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.
Spectral Theory of Operators on Hilbert Spaces
Author | : Carlos S. Kubrusly |
Publsiher | : Springer Science & Business Media |
Total Pages | : 197 |
Release | : 2012-06-01 |
Genre | : Mathematics |
ISBN | : 9780817683283 |
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This work is a concise introduction to spectral theory of Hilbert space operators. Its emphasis is on recent aspects of theory and detailed proofs, with the primary goal of offering a modern introductory textbook for a first graduate course in the subject. The coverage of topics is thorough, as the book explores various delicate points and hidden features often left untreated. Spectral Theory of Operators on Hilbert Spaces is addressed to an interdisciplinary audience of graduate students in mathematics, statistics, economics, engineering, and physics. It will also be useful to working mathematicians using spectral theory of Hilbert space operators, as well as for scientists wishing to apply spectral theory to their field.
Semigroups of Operators and Spectral Theory
Author | : Shmuel Kantorovitz |
Publsiher | : Halsted Press |
Total Pages | : 135 |
Release | : 1995 |
Genre | : Semigroups of operators |
ISBN | : 0470235616 |
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A Short Course on Operator Semigroups
Author | : Klaus-Jochen Engel,Rainer Nagel |
Publsiher | : Springer Science & Business Media |
Total Pages | : 257 |
Release | : 2006-06-06 |
Genre | : Mathematics |
ISBN | : 9780387313412 |
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The book offers a direct and up-to-date introduction to the theory of one-parameter semigroups of linear operators on Banach spaces. The book is intended for students and researchers who want to become acquainted with the concept of semigroups.
Stochastic Spectral Theory for Selfadjoint Feller Operators
Author | : Michael Demuth,Jan A. van Casteren |
Publsiher | : Birkhäuser |
Total Pages | : 476 |
Release | : 2012-12-06 |
Genre | : Technology & Engineering |
ISBN | : 9783034884600 |
Download Stochastic Spectral Theory for Selfadjoint Feller Operators Book in PDF, Epub and Kindle
In this book, a beautiful interplay between probability theory (Markov processes, martingale theory) on the one hand and operator and spectral theory on the other yields a uniform treatment of several kinds of Hamiltonians such as the Laplace operator, relativistic Hamiltonian, Laplace-Beltrami operator, and generators of Ornstein-Uhlenbeck processes. The unified approach provides a new viewpoint of and a deeper insight into the subject.
Spectral Theory of Linear Operators
Author | : Abram Iezekiilovich Plesner |
Publsiher | : Unknown |
Total Pages | : 256 |
Release | : 1969 |
Genre | : Linear operators |
ISBN | : UCAL:B4409948 |
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One parameter Semigroups of Positive Operators
Author | : Wolfgang Arendt,Rainer Nagel,Annette Grabosch,Günther Greiner,Ulrich Groh,Heinrich P. Lotz,Ulrich Moustakas,Frank Neubrander,Ulf Schlotterbeck |
Publsiher | : Springer |
Total Pages | : 468 |
Release | : 2006-11-14 |
Genre | : Mathematics |
ISBN | : 9783540397915 |
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The Asymptotic Behaviour of Semigroups of Linear Operators
Author | : Jan van Neerven |
Publsiher | : Birkhäuser |
Total Pages | : 247 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 9783034892063 |
Download The Asymptotic Behaviour of Semigroups of Linear Operators Book in PDF, Epub and Kindle
This book presents a systematic account of the theory of asymptotic behaviour of semigroups of linear operators acting in a Banach space. The focus is on the relationship between asymptotic behaviour of the semigroup and spectral properties of its infinitesimal generator. The most recent developments in the field are included, such as the Arendt-Batty-Lyubich-Vu theorem, the spectral mapp- ing theorem of Latushkin and Montgomery-Smith, Weis's theorem on stability of positive semigroup in Lp-spaces, the stability theorem for semigroups whose resolvent is bounded in a half-plane, and a systematic theory of individual stability. Addressed to researchers and graduate students with interest in the fields of operator semigroups and evolution equations, this book is self-contained and provides complete proofs.