Proceedings of the American Mathematical Society

Author(s): Monika Budzynska
Journal: Proc. Amer. Math. Soc. 131 (2003), 2771-2777.
MSC (2000): Primary 32A10, 46G20, 47H09, 47H10
Posted: March 11, 2003
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Abstract: If

is the open unit ball in the Cartesian product $l^2 \times l^2$ furnished with the

-norm $\Vert\cdot\Vert$ , where $1 <p < \infty$ and $p \neq 2$ , then a holomorphic self-mapping

has a fixed point if and only if $\sup_{n\in \mathbb{N}} \Vert f^n (x)\Vert <1$ for some $x\in B.$

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