Entropy and Multivariable Interpolation
By Gelu Popescu. 2003
53 citations recorded by the source corpus.
Introduction Operators on fock spaces and their entropy Noncommutative commutant lifting theorem: Geometric structure and maximal entropy solution Maximal entropy interpolation problems in several variables Bibliography.
Subfields: Applied Mathematics
View Paper: https://www.semanticscholar.org/paper/267be87909727c7d8900160bc47f09a513954c05
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In Applied Mathematics
- Gelu Popescu
- Orr Shalit
- Victor Vinnikov
- Dmitry S. Kaliuzhnyi-Verbovetskyi
- Guy Salomon
- E. Shamovich
- Jim Agler
- John E. McCarthy
Citations in the corpus
- Free holomorphic functions and interpolation (2007, background): “The Nevanlinna-Pick interpolation problem has been studied further by several authors and generalized to various settings (see [46], [44], [1], [12], [32], [2], [8], [11], [37], [20], and the references there in).”
- Free holomorphic functions on the unit ball of B(H)n (2006, unknown): “ spectral radius r(T1,...,Tn) <1. The definition is based on the reconstruction operator S1 ⊗T∗ 1 +··· +Sn ⊗T∗ n, which has played an important role in noncommutative multivariable operator theory ([37], [40], [39]). We prove that f(T1,...,Tn) = CT(f(S1,...,Sn)), f∈ H∞(B(X)n 1), where f(S1,...,Sn)”
- Operator Theory on Noncommutative Domains (2007, unknown): “Let us mention that, recently, interpolation problems for F∞ n and related interpolation problems on the unit ball of C were also considered in [3], [14], [15], [16], [79], [80], [42], and [82].”