1. Trivial generators for nontrivial fibres
- Creator:
- Carlsson, Linus
- Format:
- bez média and svazek
- Type:
- model:article and TEXT
- Subject:
- holomorphic function, Banach algebra, and generator
- Language:
- English
- Description:
- Pseudoconvex domains are exhausted in such a way that we keep a part of the boundary fixed in all the domains of the exhaustion. This is used to solve a problem concerning whether the generators for the ideal of either the holomorphic functions continuous up to the boundary or the bounded holomorphic functions, vanishing at a point in C n where the fibre is nontrivial, has to exceed n. This is shown not to be the case.
- Rights:
- http://creativecommons.org/publicdomain/mark/1.0/ and policy:public