Commutant Lifting and Nevanlinna–Pick Interpolation in Several Variables
نویسندگان
چکیده
منابع مشابه
Spectral Lifting in Banach Algebras and Interpolation in Several Variables
Let A be a unital Banach algebra and let J be a closed two-sided ideal of A. We prove that if any invertible element of A/J has an invertible lifting in A, then the quotient homomorphism Φ : A → A/J is a spectral interpolant. This result is used to obtain a noncommutative multivariable analogue of the spectral commutant lifting theorem of Bercovici, Foiaş, and Tannenbaum. This yields spectral v...
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ژورنال
عنوان ژورنال: Integral Equations and Operator Theory
سال: 2020
ISSN: 0378-620X,1420-8989
DOI: 10.1007/s00020-020-02582-9