Function Theory And Lp Spaces

Download Function Theory And Lp Spaces full books in PDF, epub, and Kindle. Read online free Function Theory And Lp Spaces ebook anywhere anytime directly on your device. Fast Download speed and no annoying ads. We cannot guarantee that every ebooks is available!

Function Theory and ℓp Spaces

Function Theory and ℓp Spaces
Author :
Publisher : American Mathematical Soc.
Total Pages : 239
Release :
ISBN-10 : 9781470455934
ISBN-13 : 1470455935
Rating : 4/5 (935 Downloads)

Book Synopsis Function Theory and ℓp Spaces by : Raymond Cheng

Download or read book Function Theory and ℓp Spaces written by Raymond Cheng and published by American Mathematical Soc.. This book was released on 2020-05-28 with total page 239 pages. Available in PDF, EPUB and Kindle. Book excerpt: The classical ℓp sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area (the basic inequalities, duality, convexity, geometry) as well as connects them to the function theory (boundary growth conditions, zero sets, extremal functions, multipliers, operator theory) of the associated spaces ℓpA of analytic functions whose Taylor coefficients belong to ℓp. Relations between the Banach space ℓp and its associated function space are uncovered using tools from Banach space geometry, including Birkhoff-James orthogonality and the resulting Pythagorean inequalities. The authors survey the literature on all of this material, including a discussion of the multipliers of ℓpA and a discussion of the Wiener algebra ℓ1A. Except for some basic measure theory, functional analysis, and complex analysis, which the reader is expected to know, the material in this book is self-contained and detailed proofs of nearly all the results are given. Each chapter concludes with some end notes that give proper references, historical background, and avenues for further exploration.


Function Theory and ℓp Spaces Related Books