A harmonic-type maximal principle in commutant lifting
✍ Scribed by Animikh Biswas
- Publisher
- SP Birkhäuser Verlag Basel
- Year
- 1997
- Tongue
- English
- Weight
- 428 KB
- Volume
- 28
- Category
- Article
- ISSN
- 0378-620X
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📜 SIMILAR VOLUMES
In this paper, we prove a version of the Commutant Lifting Theorem in which a causality constraint is explicitly taken into account. Thus the result combines the dilation ideas of Sz.Nagy and Foias and the nested algebra approach of Averson. 1993 Academic Press, Inc.
We characterise the pairs of commuting operators on Hilbert space for which the domain 1= We give an application to the spectral Nevanlinna Pick problem: we obtain a necessary condition for the existence of an analytic 2\_2 matrix function satisfying interpolation conditions and bounds on eigenvalu