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A note on mean ergodic composition operators on spaces of holomorphic functions [PDF]

open access: yesRevista De La Real Academia De Ciencias Exactas, Fisicas Y Naturales - Serie A: Matematicas, 2011
We characterize those composition operators defined on spaces of holomorphic functions of several variables which are power bounded, i.e. the orbits of all the elements are bounded.
JOSÉ Bonet   +2 more
exaly   +3 more sources

Ergodic theory and the approximate solution of simultaneous linear functional equations [PDF]

open access: yesJournal of Mathematical Analysis and Applications, 1979
It is shown that, for a nonempty ergodic family {Tt: t ϵ J} of continuous linear operators on a topological vector space, the solution by iteration of the simultaneous linear functional equations x − Tt(x) = h, t ϵ J, is a special case of mean ergodic ...
Ryotaro Sato
exaly   +2 more sources

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