Relative openness of quotient maps on the closed unit ball U of a normed linear space X is studied quantitatively. Particularly, it follows from the results that the quotient maps on X associated with the closed linear subspaces of X are equally relatively open on U if and only if X is locally unifo
Linear Fractional Maps of the Unit Ball: A Geometric Study
โ Scribed by Cinzia Bisi; Filippo Bracci
- Publisher
- Elsevier Science
- Year
- 2002
- Tongue
- English
- Weight
- 192 KB
- Volume
- 167
- Category
- Article
- ISSN
- 0001-8708
No coin nor oath required. For personal study only.
โฆ Synopsis
We classify up to conjugation with automorphisms the linear fractional self-maps of the unit ball of C n (n > 1). Then we give some applications of these normal forms to the study of composition operators.
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