Iterates of holomorphic self-maps of the unit ball in Hilbert space-Reference-Cited by-同舟云学术

Iterates of holomorphic self-maps of the unit ball in Hilbert space

Published:1985 Issue:1 Volume:93 Page:88-90
ISSN:0002-9939
Container-title:Proceedings of the American Mathematical Society
language:en
Short-container-title:Proc. Amer. Math. Soc.

Author:

Stachura Adam

Abstract

An example is given of a biholomorphic self-mapping T T of the unit ball in infinite-dimensional Hilbert space satisfying 0 = lim inf n ‖ T n ( 0 ) ‖ > lim sup n | | T n ( 0 ) | | = 1 0 = \lim {\inf _n}\left \| {{T^n}\left ( 0 \right )} \right \| > \lim {\sup _n}||{T^n}(0)|| = 1 .

Publisher

American Mathematical Society (AMS)

Subject

Applied Mathematics,General Mathematics

Link

http://www.ams.org/proc/1985-093-01/S0002-9939-1985-0766533-5/S0002-9939-1985-0766533-5.pdf

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4. On non-expansive mappings of Banach spaces;Edelstein, Michael;Proc. Cambridge Philos. Soc.,1964

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