Iterates of holomorphic self-maps of the unit ball in Hilbert space
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- by Adam Stachura PDF
- Proc. Amer. Math. Soc. 93 (1985), 88-90 Request permission
Abstract:
An example is given of a biholomorphic self-mapping $T$ of the unit ball in infinite-dimensional Hilbert space satisfying $0 = \lim {\inf _n}\left \| {{T^n}\left ( 0 \right )} \right \| < \lim {\sup _n}||{T^n}(0)|| = 1$.References
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Additional Information
- © Copyright 1985 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 93 (1985), 88-90
- MSC: Primary 47H99; Secondary 32H15, 46G20
- DOI: https://doi.org/10.1090/S0002-9939-1985-0766533-5
- MathSciNet review: 766533