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Singularities of inner functions

✍ Scribed by José L. Fernández


Publisher
Springer-Verlag
Year
1986
Tongue
French
Weight
202 KB
Volume
193
Category
Article
ISSN
0025-5874

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We prove that, for a function f in H ∞ of the unit disc with f ∞ 1, the existence of an operator T on a complex Hilbert space H with its numerical radius at most one and with f (T )x = 2 for some unit vector x in H is equivalent to that f be an inner function with f (0) = 0. This confirms a conjectu