Interpolation Of Operators

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Interpolation of Operators

Author : Colin Bennett,Robert C. Sharpley
Publisher : Academic Press
Page : 489 pages
File Size : 50,5 Mb
Release : 1988-04-01
Category : Mathematics
ISBN : 9780080874487

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Interpolation of Operators by Colin Bennett,Robert C. Sharpley Pdf

This book presents interpolation theory from its classical roots beginning with Banach function spaces and equimeasurable rearrangements of functions, providing a thorough introduction to the theory of rearrangement-invariant Banach function spaces. At the same time, however, it clearly shows how the theory should be generalized in order to accommodate the more recent and powerful applications. Lebesgue, Lorentz, Zygmund, and Orlicz spaces receive detailed treatment, as do the classical interpolation theorems and their applications in harmonic analysis.The text includes a wide range of techniques and applications, and will serve as an amenable introduction and useful reference to the modern theory of interpolation of operators.

Interpolation of Linear Operators

Author : S. G. Krein,E. M. Semenov
Publisher : American Mathematical Soc.
Page : 390 pages
File Size : 55,9 Mb
Release : 2002-10-21
Category : Mathematics
ISBN : 9780821831762

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Interpolation of Linear Operators by S. G. Krein,E. M. Semenov Pdf

Operator Theory and Interpolation

Author : Hari Bercovic,Ciprian I. Foias
Publisher : Birkhäuser
Page : 311 pages
File Size : 52,5 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783034884228

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Operator Theory and Interpolation by Hari Bercovic,Ciprian I. Foias Pdf

A collection of articles emphasizing modern interpolation theory, a topic which has seen much progress in recent years. These ideas and problems in operator theory, often arising from systems and control theories, bring the reader to the forefront of current research in this area.

Interpolation Theory

Author : Alessandra Lunardi
Publisher : Springer
Page : 199 pages
File Size : 45,7 Mb
Release : 2018-05-05
Category : Mathematics
ISBN : 9788876426384

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Interpolation Theory by Alessandra Lunardi Pdf

This book is the third edition of the 1999 lecture notes of the courses on interpolation theory that the author delivered at the Scuola Normale in 1998 and 1999. In the mathematical literature there are many good books on the subject, but none of them is very elementary, and in many cases the basic principles are hidden below great generality. In this book the principles of interpolation theory are illustrated aiming at simplification rather than at generality. The abstract theory is reduced as far as possible, and many examples and applications are given, especially to operator theory and to regularity in partial differential equations. Moreover the treatment is self-contained, the only prerequisite being the knowledge of basic functional analysis.

Interpolation Spaces

Author : J. Bergh,J. Löfström
Publisher : Springer Science & Business Media
Page : 218 pages
File Size : 55,6 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9783642664519

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Interpolation Spaces by J. Bergh,J. Löfström Pdf

The works of Jaak Peetre constitute the main body of this treatise. Important contributors are also J. L. Lions and A. P. Calderon, not to mention several others. We, the present authors, have thus merely compiled and explained the works of others (with the exception of a few minor contributions of our own). Let us mention the origin of this treatise. A couple of years ago, J. Peetre suggested to the second author, J. Lofstrom, writing a book on interpolation theory and he most generously put at Lofstrom's disposal an unfinished manu script, covering parts of Chapter 1-3 and 5 of this book. Subsequently, LOfstrom prepared a first rough, but relatively complete manuscript of lecture notes. This was then partly rewritten and thouroughly revised by the first author, J. Bergh, who also prepared the notes and comment and most of the exercises. Throughout the work, we have had the good fortune of enjoying Jaak Peetre's kind patronage and invaluable counsel. We want to express our deep gratitude to him. Thanks are also due to our colleagues for their support and help. Finally, we are sincerely grateful to Boe1 Engebrand, Lena Mattsson and Birgit Hoglund for their expert typing of our manuscript.

Topics in Operator Theory and Interpolation

Author : I. Gohberg
Publisher : Birkhäuser
Page : 240 pages
File Size : 45,8 Mb
Release : 2012-12-06
Category : Science
ISBN : 9783034891622

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Topics in Operator Theory and Interpolation by I. Gohberg Pdf

Means of Hilbert Space Operators

Author : Fumio Hiai,Hideki Kosaki
Publisher : Springer
Page : 156 pages
File Size : 43,9 Mb
Release : 2003-12-15
Category : Mathematics
ISBN : 9783540451525

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Means of Hilbert Space Operators by Fumio Hiai,Hideki Kosaki Pdf

The monograph is devoted to a systematic study of means of Hilbert space operators by a unified method based on the theory of double integral transformations and Peller's characterization of Schur multipliers. General properties on means of operators such as comparison results, norm estimates and convergence criteria are established. After some general theory, special investigations are focused on three one-parameter families of A-L-G (arithmetic-logarithmic-geometric) interpolation means, Heinz-type means and binomial means. In particular, norm continuity in the parameter is examined for such means. Some necessary technical results are collected as appendices.

Global Smoothness and Shape Preserving Interpolation by Classical Operators

Author : Sorin Gal
Publisher : Springer Science & Business Media
Page : 168 pages
File Size : 50,6 Mb
Release : 2005-07-27
Category : Mathematics
ISBN : 0817643877

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Global Smoothness and Shape Preserving Interpolation by Classical Operators by Sorin Gal Pdf

This monograph examines in detail two aspects in the field of interpolation of functions -the Global Smoothness Preservation Property (GSPP) and the Shape Preservation Property (SPP). By considering well-known classical interpolation operators such as Lagrange, Grünwald, Hermite-Fejér and Shepard type, the study is mainly developed for the univariate and bivariate cases. One of the first books on the subject, it presents to the reader, recent work featuring many new interesting results in this field, including an excellent survey of past research. Accompanied by numerous open problems, an updated set of references, and an appendix featuring illustrations of nine types of Shepard surfaces, this unique text is best suited to graduate students and researchers in mathematical analysis, interpolation of functions, pure and applied mathematicians in numerical analysis, approximation theory, data fitting, computer aided geometric design, fluid mechanics, and engineering researchers.

Interpolation Theory and Applications

Author : Michael Cwikel,Laura De Carli,Mario Milman
Publisher : American Mathematical Soc.
Page : 370 pages
File Size : 52,8 Mb
Release : 2007
Category : Interpolation
ISBN : 9780821842072

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Interpolation Theory and Applications by Michael Cwikel,Laura De Carli,Mario Milman Pdf

This volume contains the Proceedings of the Conference on Interpolation Theory and Applications in honor of Professor Michael Cwikel (Miami, FL, 2006). The central topic of this book is interpolation theory in its broadest sense, with special attention to its applications to analysis. The articles include applications to classical analysis, harmonic analysis, partial differential equations, function spaces, image processing, geometry of Banach spaces, and more. This volume emphasizes remarkable connections between several branches of pure and applied analysis. Graduate students and researchers in analysis will find it very useful.

Operator Theory and Analysis

Author : H. Bart,I. Gohberg,A.C.M. Ran
Publisher : Springer Science & Business Media
Page : 494 pages
File Size : 45,9 Mb
Release : 2001-01-01
Category : Mathematics
ISBN : 3764364998

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Operator Theory and Analysis by H. Bart,I. Gohberg,A.C.M. Ran Pdf

On November 12-14, 1997 a workshop was held at the Vrije Universiteit Amsterdam on the occasion of the sixtieth birthday ofM. A. Kaashoek. The present volume contains the proceedings of this workshop. The workshop was attended by 44 participants from all over the world: partici pants came from Austria, Belgium, Canada, Germany, Ireland, Israel, Italy, The Netherlands, South Africa, Switzerland, Ukraine and the USA. The atmosphere at the workshop was very warm and friendly. There where 21 plenary lectures, and each lecture was followed by a lively discussion. The workshop was supported by: the Vakgroep Wiskunde of the Vrije Univer siteit, the department of Mathematics and Computer Science of the Vrije Univer siteit, the Stichting VU Computer Science & Mathematics Research Centre, the Thomas Stieltjes Institute for Mathematics, and the department of Economics of the Erasmus University Rotterdam. The organizers would like to take this opportunity to express their gratitude for the support. Without it the workshop would not have been so successful as it was. Table of Contents Preface . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . v Photograph of M. A. Kaashoek . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xiii Curriculum Vitae of M. A. Kaashoek . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xv List of Publications of M. A. Kaashoek . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xix l. Gohberg Opening Address . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxxi H. Bart, A. C. M. Ran and H. I. Woerdeman Personal Reminiscences . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . xxxv V. Adamyan and R. Mennicken On the Separation of Certain Spectral Components of Selfadjoint Operator Matrices . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 1. Introduction . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 1 2. Conditions for the Separation of Spectral Components . . . . . . . 4 3. Example . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 9 References . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . .