Let \(a=(a_n)_{n\geq 0}\) be a sequence of nonnegative real numbers such that \(\sum _{n=0}^\infty a_n=1\) . For any power bounded operator T on Banach space, one may define \(\displaystyle F_a(T)=\sum _{n=0}^\infty a_nT^n. \)

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Discrete Subordination

  • Christian Le Merdy

摘要

Let \(a=(a_n)_{n\geq 0}\) be a sequence of nonnegative real numbers such that \(\sum _{n=0}^\infty a_n=1\) . For any power bounded operator T on Banach space, one may define \(\displaystyle F_a(T)=\sum _{n=0}^\infty a_nT^n. \)