A Denjoy-Wolff theorem for compact holomorphic mappings in reflexive Banach spaces

作者：Budzynska Monika; Kuczumow Tadeusz; Reich Simeon^*

来源：Journal of Mathematical Analysis and Applications, 2012, 396(2): 504-512.

DOI：10.1016/j.jmaa.2012.06.044

• Denjoy-Wolff theorem
• Fixed point
• Holomorphic mapping
• Horosphere
• Iterates of holomorphic mappings
• k(D)-nonexpansive mapping
• Kobayashi distance

Using the Kobayashi distance, we establish a Denjoy-Wolff theorem for compact holomorphic self-mappings of a bounded and strictly convex domain in a complex reflexive Banach space.

• 出版日期2012-12-15