Geodesics, Retracts, and the Norm-Preserving Extension Property in the Symmetrized Bidisc [Minkštas viršelis]

Introduction
An overview
Extremal problems in the symmetrized bidisc $G$
Complex geodesics in $G$
The retracts of $G$ and the bidisc $\mathbb {D}^2$
Purely unbalanced and exceptional datums in $G$
A geometric classification of geodesics in $G$
Balanced geodesics in $G$
Geodesics and sets $V$ with the norm-preserving extension property in $G$
Anomalous sets $\mathcal {R}\cup \mathcal {D}$ with the norm-preserving
extension property in $G$
$V$ and a circular region $R$ in the plane
Proof of the main theorem
Sets in $\mathbb {D}^2$ with the symmetric extension property
Applications to the theory of spectral sets
Anomalous sets with the norm-preserving extension property in some other
domains
Appendix A. Some useful facts about the symmetrized bidisc
Appendix B. Types of geodesic: a crib and some cartoons
Bibliography
Index.

Jim Agler, University of California at San Diego, CA.

Zinaida Lykova, Newcastle University, Newcastle upon Tyne, United Kingdom.

Nicholas Young, Newcastle University, Newcastle upon Tyne, United Kingdom.