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The Nevanlinna-Pick theorem and a non-positive definite matrix
Published online by Cambridge University Press: 17 April 2009
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Let {zj} be an interpolation sequence in the open unit disc and {wj} a bounded sequence. In this note, it is shown that there is a function F in H∞ + C satisfying ‖F‖ ≤ 1 and 
as j → ∞ if and only if there exists a compact matrix [tij] such that 
on 
where 
.
- Type
- Research Article
- Information
- Bulletin of the Australian Mathematical Society , Volume 36 , Issue 3 , December 1987 , pp. 361 - 365
- Copyright
- Copyright © Australian Mathematical Society 1987
References
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