A Hull with No Nontrivial Gleason Parts

作者：Cole Brian J^*; Ghosh Swarup N; Izzo Alexander J

来源：Indiana University Mathematics Journal, 2018, 67(2): 739-752.

DOI：10.1512/iumj.2018.67.7300

• Polynomial convexity
• polynomially convex hulls
• Gleason parts
• point derivations
• dense invertibles
• peak point conjecture

The existence of a nontrivial polynomially convex hull with every point a one-point Gleason part and with no nonzero bounded point derivations is established. This strengthens the celebrated result of Stolzenberg that there exists a nontrivial polynomially convex hull that contains no analytic discs. A doubly generated counterexample to the peak point conjecture is also presented.

• 出版日期2018