Acta mathematica scientia,Series B ›› 1994, Vol. 14 ›› Issue (2): 235-239.

• Articles • Previous Articles    

A GENERALIZATION OF CARATHEODORY INERUALITY

Yang Chang-sen   

  1. Henan Normal University
  • Received:1992-06-25 Online:1994-06-25 Published:1994-06-25

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Abstract: Let H be a Hilbert space. and f(z) is an analytic function in unit disk,|f(z)|<1, then
||f'(A)|| ≤ (||I-f*(A)f(A)||(1)/2||I-f(A)f*(A)|(1)/2)/1-||A||2 where A is a proper contraction operator on H.

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