02876cam  22004458i 450000100090000000300050000900500170001400600190003100700150005000800410006502000270010604000290013305000210016208200170018310000250020024501640022526300090038926400610039830000340045933600260049333700280051933800270054749000740057450400510064850510050069950600500170453300950175453800360184958800470188565000310193265000360196365000280199965000250202765000250205270000590207770000300213677601720216685600440233885600480238220897524RPAM20190501194407.0m      b    001 0 cr/|||||||||||190501s2019    riu     ob    001 0 eng    a9781470450755 (online)  aDLCbengerdacDLCdRPAM00aQA360b.A45 201900a516.3/622231 aAgler, Jim,eauthor.10aGeodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc /h[electronic resource] cJim Agler, Zinaida Lykova, Nicholas Young.  a1904 1aProvidence, RI :bAmerican Mathematical Society,c[2019]  a1 online resource (pages cm.)  atextbtxt2rdacontent  aunmediatedbn2rdamedia  avolumebnc2rdacarrier0 aMemoirs of the American Mathematical Society, x1947-6221 ; vv. 1242  aIncludes bibliographical references and index.00tPrefacetChapter 1. IntroductiontChapter 2. An overviewtChapter 3. Extremal problems in the symmetrized bidisc $G$tChapter 4. Complex geodesics in $G$tChapter 5. The retracts of $G$ and the bidisc $\mathbb D^2$tChapter 6. Purely unbalanced and exceptional datums in $G$tChapter 7. A geometric classification of geodesics in $G$tChapter 8. Balanced geodesics in $G$tChapter 9. Geodesics and sets $V$ with the norm-preserving extension property in $G$tChapter 10. Anomalous sets $\mathcal R\cup \mathcal D$ with the norm-preserving extension property in $G$tChapter 11. $V$ and a circular region $R$ in the planetChapter 12. Proof of the main theoremtChapter 13. Sets in $\mathbb D^2$ with the symmetric extension propertytChapter 14. Applications to the theory of spectral setstChapter 15. Anomalous sets with the norm-preserving extension property in some other domainstAppendix A. Some useful facts about the symmetrized bidisctAppendix B. Types of geodesic: a crib and some cartoons1 aAccess is restricted to licensed institutions  aElectronic reproduction.bProvidence, Rhode Island :cAmerican Mathematical Society.d2019  aMode of access : World Wide Web  aDescription based on print version record. 0aGeometric function theory. 0aFunctions of complex variables. 0aGeometry, Differential. 0aRetracts, Theory of. 0aHermitian operators.1 aLykova, Z. A.q(Zinaida Alexandrovna),d1954-eauthor.1 aYoung, Nicholas,eauthor.0 iPrint version: aAgler, Jim,tGeodesics, retracts, and the norm-preserving extension property in the symmetrized bidisc /w(DLC)   2019013165x0065-9266z97814704354934 3Contentsuhttp://www.ams.org/memo/1242/4 3Contentsuhttps://doi.org/10.1090/memo/1242