Function Theory and $\ell ^p$ Spaces
Raymond Cheng
ISBN 10: 1470455935 ISBN 13: 9781470455934
Published by American Mathematical Society, 2020
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Title: Function Theory and $\ell ^p$ Spaces
Publisher: American Mathematical Society
Publication Date: 2020
Binding: Soft cover
Condition: New
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Function Theory and $ell ^p$ Spaces
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ISBN 10: 1470455935
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Function Theory and Lp Spaces
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Function Theory and $\ell ^p$ Spaces
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American Mathematical Society, US, 2020
ISBN 10: 1470455935
ISBN 13: 9781470455934
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Paperback. Condition: New. 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. Seller Inventory # LU-9781470455934
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Function Theory and Lp Spaces
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Function Theory and $\\ell ^p$ Spaces
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Condition: New. 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. Seller Inventory # 595975424
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Function theory and Lp spaces. University lecture series; volume 75.
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Providence, American Mathematical Society, 2020
ISBN 10: 1470455935
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Softcover. xvi, 219 p. Ex-library with stamp and library-signature. GOOD condition, some traces of use. Ehem. Bibliotheksexemplar mit Signatur und Stempel. GUTER Zustand, ein paar Gebrauchsspuren. C-04938 9781470455934 Sprache: Englisch Gewicht in Gramm: 550. Seller Inventory # 2491181
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Function Theory and $\ell ^p$ Spaces
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ISBN 10: 1470455935
ISBN 13: 9781470455934
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Paperback. Condition: New. 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. Seller Inventory # LU-9781470455934
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Function Theory and $\ell ^p$ Spaces (Paperback)
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American Mathematical Society, Providence, 2020
ISBN 10: 1470455935
ISBN 13: 9781470455934
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Paperback. Condition: new. 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 multiple locations in the US or from the UK, depending on stock availability. Seller Inventory # 9781470455934
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Function Theory and $\ell ^p$ Spaces
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ISBN 10: 1470455935
ISBN 13: 9781470455934
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