✦ LIBER ✦
The Growth Theorem and Schwarz Lemma on Infinite Dimensional Domains
✍ Scribed by Tatsuhiro Honda
- Publisher
- John Wiley and Sons
- Year
- 2002
- Tongue
- English
- Weight
- 174 KB
- Volume
- 233-234
- Category
- Article
- ISSN
- 0025-584X
No coin nor oath required. For personal study only.
✦ Synopsis
Let D be a balanced convex domain in a sequentially complete locally convex space E. If f : D → E is a convex biholomorphic mapping with f (0) = 0 and df (0) = id, we have an upper bound of the growth of f . Also let D 1 , D 2 be bounded balanced pseudoconvex domains in complex normed spaces E 1 , E 2 respectively. When f : D 1 → D 2 is a holomorphic mapping, we discuss a condition whereby f is linear or injective.