Interpolation of operators

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 th...

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Bibliographic Details
Main Author: Bennett, Colin
Other Authors: Sharpley, Robert C.
Format: eBook
Language:English
Published: Boston Academic Press 1988, 1988
Series:Pure and applied mathematics
Subjects:
Online Access:
Collection: Elsevier eBook collection Mathematics - Collection details see MPG.ReNa
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245 0 0 |a Interpolation of operators  |c Colin Bennett, Robert Sharpley 
260 |a Boston  |b Academic Press  |c 1988, 1988 
300 |a xiv, 469 pages  |b illustrations 
505 0 |a Includes bibliographical references (pages 445-459) and index 
505 0 |a Banach Function Spaces. Rearrangement-Invariant Banach Function Spaces. Interpolation of Operators on Rearrangement-Invariant Spaces. The Classical Interpolation Theorems. The K-Method. Each chapter includes references. Index 
653 |a Théorie des opérateurs 
653 |a Operator theory / http://id.loc.gov/authorities/subjects/sh85095029 
653 |a Interpolation spaces / fast / (OCoLC)fst00977460 
653 |a Opérateurs, Théorie des / ram 
653 |a Operator theory / fast / (OCoLC)fst01046419 
653 |a Espaces d'interpolation 
653 |a Interpolation spaces / http://id.loc.gov/authorities/subjects/sh85067493 
653 |a MATHEMATICS / Essays / bisacsh 
653 |a Operatoren / gtt 
653 |a MATHEMATICS / Reference / bisacsh 
653 |a Interpolatie / gtt 
653 |a MATHEMATICS / Pre-Calculus / bisacsh 
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520 |a 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