Function Theory and $\ell ^p$ Spaces (Paperback)
Language: English
Published by American Mathematical Society, Providence, 2020
- Softcover
- New
Seller: AussieBookSeller, Truganina, VIC, AustraliaAussieBookSeller
AbeBooks seller since June 22, 2007
Condition: New
£ 89.47
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Paperback. The classical $\ell^{p}$ 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 $\ell^{p}_{A}$ of analytic functions whose Taylor coefficients belong to $\ell^p$. Relations between the Banach space $\ell^p$ 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 $\ell^{p}_{A}$ and a discussion of the Wiener algebra $\ell^{1}_{A}$. 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. The classical $\ell^{p}$ sequence spaces have been a mainstay in Banach spaces. This book reviews some of the foundational results in this area as well as connects them to the function theory of the associated spaces $\ell^{p}_{A}$ of analytic functions whose Taylor coefficients belong to $\ell^p$. Shipping may be from our Sydney, NSW warehouse or from our UK or US warehouse, depending on stock availability.…
Seller Inventory # 9781470455934
- Title
- Function Theory and $\ell ^p$ Spaces (Paperback)
- Author
- Raymond Cheng
- Publisher
- American Mathematical Society, Providence
- Publication year
- 2020
- Condition
- new
- Binding
- Paperback
- Language
- English
- ISBN 10
- 1470455935
- ISBN 13
- 9781470455934
"Synopsis" may belong to another edition of this title.
About the Author
Javad Mashreghi, Laval University, Quebec City, QC, Canada
William T. Ross University of Richmond, VA
"About the title" may belong to another edition of this title.
AussieBookSeller
Truganina, VIC, Australia
AbeBooks seller since June 22, 2007
Shipping rates from Australia to U.S.A.
| Item | 25 to 45 business days | 8 to 14 business days |
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