Interpolation Of Operators
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Author | : Colin Bennett |
Publisher | : Academic Press |
Total Pages | : 489 |
Release | : 1988-04-01 |
Genre | : Mathematics |
ISBN | : 0080874487 |
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.
Author | : S. G. Krein |
Publisher | : American Mathematical Soc. |
Total Pages | : 390 |
Release | : 2002-10-21 |
Genre | : Mathematics |
ISBN | : 0821831763 |
Author | : Hans Triebel |
Publisher | : |
Total Pages | : 540 |
Release | : 1995 |
Genre | : Mathematics |
ISBN | : |
Author | : Kristian Seip |
Publisher | : American Mathematical Soc. |
Total Pages | : 153 |
Release | : 2004 |
Genre | : Mathematics |
ISBN | : 0821835548 |
Based on a series of six lectures given by the author at the University of Michigan, this book is intended as an introduction to the topic of interpolation and sampling in analytic function spaces. The three major topics covered are Nevanlinna-Pick interpolation, Carleson's interpolation theorem, an
Author | : Cora Sadosky |
Publisher | : |
Total Pages | : 375 |
Release | : 1997 |
Genre | : |
ISBN | : |
Author | : J. Bergh |
Publisher | : Springer Science & Business Media |
Total Pages | : 218 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3642664512 |
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.
Author | : Barbara Gail Frazier |
Publisher | : |
Total Pages | : 36 |
Release | : 1987 |
Genre | : Operator equations |
ISBN | : |
Author | : I. Gohberg |
Publisher | : Birkhäuser |
Total Pages | : 311 |
Release | : 2013-11-11 |
Genre | : Science |
ISBN | : 3034877013 |
Author | : Hari Bercovic |
Publisher | : Birkhäuser |
Total Pages | : 311 |
Release | : 2012-12-06 |
Genre | : Mathematics |
ISBN | : 3034884222 |
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.
Author | : I. Gohberg |
Publisher | : Birkhäuser |
Total Pages | : 240 |
Release | : 2012-12-06 |
Genre | : Science |
ISBN | : 3034891628 |