Seminar on
Functional Analysis and Applications

Supported by The Center for Functional Analysis and Applications - CEAF.
      
Next talks: _______________________________________________________________________



  • November 25, 2011, Friday - 15h00 (Room P 3.10):

Chafiq Benhida
(Laboratoire Paul Painlevé, Université de Lille 1, France)

"  Numerical ranges of C0(N) contractions "

Abstract.  A conjecture of Halmos proved by Choi and Li states that the closure of the numerical range of a contraction on a Hilbert space is the intersection of the closure of the numerical ranges of all its unitary dilations. We show that for C0(N) contractions one can restrict the intersection to a smaller family of dilations. This generalizes a finite dimensional result of Gau and Wu.




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