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An entire free holomorphic function which is unbounded on the row ball

55   0   0.0 ( 0 )
 Added by J E Pascoe
 Publication date 2019
  fields
and research's language is English
 Authors J. E. Pascoe




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We give an entire free holomorphic function $f$ which is unbounded on the row ball. That is, we give a holomorphic free noncommutative function which is continuous in the free topology developed by Agler and McCarthy but is unbounded on the set of row contractions.

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