Infinite Products of Holomorphic Mappings
نویسنده
چکیده
Let X be a complex Banach space, a norming set for X , and D ⊂ X a bounded, closed, and convex domain such that its norm closure D is compact in σ(X , ). Let ∅ = C ⊂D lie strictly inside D. We study convergence properties of infinite products of those selfmappings of C which can be extended to holomorphic self-mappings of D. Endowing the space of sequences of such mappings with an appropriate metric, we show that the subset consisting of all the sequences with divergent infinite products is σ-porous.
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