# Composition Operators: and Classical Function Theory (Universitext / Universitext: Tracts in Mathematics)

## Shapiro, Joel H.

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Reseña del editor:

The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean­ ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin's textbook Real and Complex Analysis [Rdn '87]: Chapters 1-7 (measure and integra­ tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin's book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this.

Reseña del editor:

The study of composition operators forges links between fundamental properties of linear operators and beautiful results from the classical theory of analytic functions. This book provides a self-contained introduction to both the subject and its function-theoretic underpinnings. The development is geometrically motivated, and accessible to anyone who has studied basic graduate-level real and complex analysis. The work explores how operator-theoretic issues such as boundedness, compactness, and cyclicity evolve - in the setting of composition operators on the Hilbert space H2 into questions about subordination, value distribution, angular derivatives, iteration, and functional equations. Each of these classical topics is developed fully, and particular attention is paid to their common geometric heritage as descendants of the Schwarz Lemma.

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## 1.Composition Operators: And Classical Function Theory (Paperback)

Editorial: Springer-Verlag New York Inc., United States (1993)
ISBN 10: 0387940677 ISBN 13: 9780387940670
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Descripción Springer-Verlag New York Inc., United States, 1993. Paperback. Estado de conservación: New. 229 x 155 mm. Language: English Brand New Book ***** Print on Demand *****.The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean- ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin s textbook Real and Complex Analysis [Rdn 87]: Chapters 1-7 (measure and integra- tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin s book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this. Softcover reprint of the original 1st ed. 1993. Nº de ref. de la librería AAV9780387940670

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## 2.Composition Operators

Editorial: Springer-Verlag New York Inc. (1993)
ISBN 10: 0387940677 ISBN 13: 9780387940670
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Descripción Springer-Verlag New York Inc., 1993. PAP. Estado de conservación: New. New Book. Delivered from our UK warehouse in 3 to 5 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería LQ-9780387940670

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## 3.Composition Operators. and Classical Function Theory

Editorial: Springer (1993)
ISBN 10: 0387940677 ISBN 13: 9780387940670
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Descripción Springer, 1993. Paperback. Estado de conservación: NEW. 9780387940670 This listing is a new book, a title currently in-print which we order directly and immediately from the publisher. Nº de ref. de la librería HTANDREE0411152

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## 4.Composition Operators : and Classical Function Theory

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ISBN 10: 0387940677 ISBN 13: 9780387940670
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Descripción Springer, 2016. Paperback. Estado de conservación: New. PRINT ON DEMAND Book; New; Publication Year 2016; Not Signed; Fast Shipping from the UK. No. book. Nº de ref. de la librería ria9780387940670_lsuk

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## 5.Composition Operators: And Classical Function Theory (Paperback)

Editorial: Springer-Verlag New York Inc., United States (1993)
ISBN 10: 0387940677 ISBN 13: 9780387940670
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Descripción Springer-Verlag New York Inc., United States, 1993. Paperback. Estado de conservación: New. 229 x 155 mm. Language: English . Brand New Book ***** Print on Demand *****. The study of composition operators links some of the most basic questions you can ask about linear operators with beautiful classical results from analytic-function theory. The process invests old theorems with new mean- ings, and bestows upon functional analysis an intriguing class of concrete linear operators. Best of all, the subject can be appreciated by anyone with an interest in function theory or functional analysis, and a background roughly equivalent to the following twelve chapters of Rudin s textbook Real and Complex Analysis [Rdn 87]: Chapters 1-7 (measure and integra- tion, LP spaces, basic Hilbert and Banach space theory), and 10-14 (basic function theory through the Riemann Mapping Theorem). In this book I introduce the reader to both the theory of composition operators, and the classical results that form its infrastructure. I develop the subject in a way that emphasizes its geometric content, staying as much as possible within the prerequisites set out in the twelve fundamental chapters of Rudin s book. Although much of the material on operators is quite recent, this book is not intended to be an exhaustive survey. It is, quite simply, an invitation to join in the fun. The story goes something like this. Softcover reprint of the original 1st ed. 1993. Nº de ref. de la librería AAV9780387940670

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## 6.Composition Operators: and Classical Function Theory (Universitext / Universitext: Tracts in Mathematics)

Editorial: Springer (1993)
ISBN 10: 0387940677 ISBN 13: 9780387940670
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Descripción Springer, 1993. Estado de conservación: New. This item is printed on demand for shipment within 3 working days. Nº de ref. de la librería LP9780387940670

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## 7.Composition Operators

Editorial: Springer-Verlag New York Inc. (1993)
ISBN 10: 0387940677 ISBN 13: 9780387940670
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Descripción Springer-Verlag New York Inc., 1993. PAP. Estado de conservación: New. New Book. Shipped from US within 10 to 14 business days. THIS BOOK IS PRINTED ON DEMAND. Established seller since 2000. Nº de ref. de la librería IQ-9780387940670

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## 8.Composition Operators: And Classical Function Theory (Applied Mathematical Sciences)

ISBN 10: 0387940677 ISBN 13: 9780387940670
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Descripción Estado de conservación: New. Brand new book, sourced directly from publisher. Dispatch time is 24-48 hours from our warehouse. Book will be sent in robust, secure packaging to ensure it reaches you securely. Nº de ref. de la librería NU-ING-00716703

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## 9.Composition Operators: and Classical Function Theory (Universitext / Universitext: Tracts in Mathematics)

Editorial: Springer (1993)
ISBN 10: 0387940677 ISBN 13: 9780387940670
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Irish Booksellers
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Descripción Springer, 1993. Paperback. Estado de conservación: New. book. Nº de ref. de la librería 0387940677

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## 10.Composition Operators: and Classical Function Theory (Universitext / Universitext: Tracts in Mathematics)

Editorial: Springer (1993)
ISBN 10: 0387940677 ISBN 13: 9780387940670
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Descripción Springer, 1993. Paperback. Estado de conservación: New. Softcover reprint of the origina. This item is printed on demand. Nº de ref. de la librería DADAX0387940677

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