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On Stieltjes functions and Hankel operators |
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| Authors: | Raimund J Ober |
| Affiliation: | Center for Engineering Mathematics EC 35, University of Texas at Dallas, Richardson, TX 75083, USA |
| Abstract: | Let G be a Stieltjes function which is analytic in the open right half plane. It is shown that G is in H∞(RHP) if and only if the Hankel operator HG on H2(RHP) with symbol G is nuclear. If G is in H∞(RHP) it is shown that the non-tangential limit of G at s = 0 equals twice the nuclear norm of HG. |
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