A spectral commutant lifting theorem
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- by Hari Bercovici, Ciprian Foias and Allen Tannenbaum PDF
- Trans. Amer. Math. Soc. 325 (1991), 741-763 Request permission
Abstract:
The commutant lifting theorem of [24] may be regarded as a very general interpolation theorem from which a number of classical interpolation results may be deduced. In this paper we prove a spectral version of the commutant lifting theorem in which one bounds the spectral radius of the interpolant and not the norm. We relate this to a spectral analogue of classical matricial Nevanlinna-Pick interpolation.References
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Additional Information
- © Copyright 1991 American Mathematical Society
- Journal: Trans. Amer. Math. Soc. 325 (1991), 741-763
- MSC: Primary 47A20; Secondary 30E05, 93B28
- DOI: https://doi.org/10.1090/S0002-9947-1991-1000144-9
- MathSciNet review: 1000144