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Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc
 
Jim Agler University of California at San Diego, San Diego, CA
Zinaida Lykova Newcastle University, Newcastle upon Tyne, United Kingdom
Nicholas Young Newcastle University, Newcastle upon Tyne, United Kingdom
Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc
Softcover ISBN:  978-1-4704-3549-3
Product Code:  MEMO/258/1242
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
eBook ISBN:  978-1-4704-5075-5
Product Code:  MEMO/258/1242.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Softcover ISBN:  978-1-4704-3549-3
eBook: ISBN:  978-1-4704-5075-5
Product Code:  MEMO/258/1242.B
List Price: $162.00 $121.50
MAA Member Price: $145.80 $109.35
AMS Member Price: $97.20 $72.90
Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc
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Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc
Jim Agler University of California at San Diego, San Diego, CA
Zinaida Lykova Newcastle University, Newcastle upon Tyne, United Kingdom
Nicholas Young Newcastle University, Newcastle upon Tyne, United Kingdom
Softcover ISBN:  978-1-4704-3549-3
Product Code:  MEMO/258/1242
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
eBook ISBN:  978-1-4704-5075-5
Product Code:  MEMO/258/1242.E
List Price: $81.00
MAA Member Price: $72.90
AMS Member Price: $48.60
Softcover ISBN:  978-1-4704-3549-3
eBook ISBN:  978-1-4704-5075-5
Product Code:  MEMO/258/1242.B
List Price: $162.00 $121.50
MAA Member Price: $145.80 $109.35
AMS Member Price: $97.20 $72.90
  • Book Details
     
     
    Memoirs of the American Mathematical Society
    Volume: 2582019; 108 pp
    MSC: Primary 32; 53; 54; 47; Secondary 30

    View the abstract.

  • Table of Contents
     
     
    • Chapters
    • Preface
    • 1. Introduction
    • 2. An overview
    • 3. Extremal problems in the symmetrized bidisc $G$
    • 4. Complex geodesics in $G$
    • 5. The retracts of $G$ and the bidisc $\mathbb {D}^2$
    • 6. Purely unbalanced and exceptional datums in $G$
    • 7. A geometric classification of geodesics in $G$
    • 8. Balanced geodesics in $G$
    • 9. Geodesics and sets $V$ with the norm-preserving extension property in $G$
    • 10. Anomalous sets $\mathcal {R}\cup \mathcal {D}$ with the norm-preserving extension property in $G$
    • 11. $V$ and a circular region $R$ in the plane
    • 12. Proof of the main theorem
    • 13. Sets in $\mathbb {D}^2$ with the symmetric extension property
    • 14. Applications to the theory of spectral sets
    • 15. Anomalous sets with the norm-preserving extension property in some other domains
    • A. Some useful facts about the symmetrized bidisc
    • B. Types of geodesic: a crib and some cartoons
  • Additional Material
     
     
  • Requests
     
     
    Review Copy – for publishers of book reviews
    Permission – for use of book, eBook, or Journal content
    Accessibility – to request an alternate format of an AMS title
Volume: 2582019; 108 pp
MSC: Primary 32; 53; 54; 47; Secondary 30

View the abstract.

  • Chapters
  • Preface
  • 1. Introduction
  • 2. An overview
  • 3. Extremal problems in the symmetrized bidisc $G$
  • 4. Complex geodesics in $G$
  • 5. The retracts of $G$ and the bidisc $\mathbb {D}^2$
  • 6. Purely unbalanced and exceptional datums in $G$
  • 7. A geometric classification of geodesics in $G$
  • 8. Balanced geodesics in $G$
  • 9. Geodesics and sets $V$ with the norm-preserving extension property in $G$
  • 10. Anomalous sets $\mathcal {R}\cup \mathcal {D}$ with the norm-preserving extension property in $G$
  • 11. $V$ and a circular region $R$ in the plane
  • 12. Proof of the main theorem
  • 13. Sets in $\mathbb {D}^2$ with the symmetric extension property
  • 14. Applications to the theory of spectral sets
  • 15. Anomalous sets with the norm-preserving extension property in some other domains
  • A. Some useful facts about the symmetrized bidisc
  • B. Types of geodesic: a crib and some cartoons
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Please select which format for which you are requesting permissions.