An equivalence to the Gleason problem

作者：Carlsson Linus^*

来源：Journal of Mathematical Analysis and Applications, 2010, 370(2): 373-378.

DOI：10.1016/j.jmaa.2010.05.024

• Holomorphic functions
• Banach algebras
• The Gleason problem

In this article we study the Gleason problem locally. A new method for solving the Gleason A problem is presented. This is done by showing an equivalent statement to the Gleason A problem. In order to prove this statement, necessary and a sufficient conditions for a bounded domain to have the Gleason A property are found. Also an example of a bounded but not smoothly-bounded domain in C(n) is given, which satisfies the sufficient condition at the origin, and hence has the Gleason A property there.

• 出版日期2010-10-15