Carathéodory interpolation on the non-commutative polydisk

DOI10.1016/j.jfa.2005.03.007zbMath1091.47016arXivmath/0412161OpenAlexW2015420685MaRDI QIDQ2583792

Dmitry S. Kaliuzhnyi-Verbovetzkyi

Publication date: 18 January 2006

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0412161

zbMATH Keywords

interpolationdilationcompletely positive mapformal power seriesnon-commutativeArveson extension theoremCarathéodory problemCarathéodory--Fejér problemjointly nilpotent operators

Mathematics Subject Classification ID

Several-variable operator theory (spectral, Fredholm, etc.) (47A13) Linear operator methods in interpolation, moment and extension problems (47A57) Dilations, extensions, compressions of linear operators (47A20) Other ``noncommutative mathematics based on (C^*)-algebra theory (46L89)

Related Items (7)

Free holomorphic functions on the unit ball of \(B(\mathcal H)^n\). II ⋮ Non-commutative Carathéodory interpolation ⋮ Interpolation in semigroupoid algebras ⋮ Conservative dilations of dissipative multidimensional systems: the commutative and non-commutative settings ⋮ Gleason's problem and Schur multipliers in the multivariable quaternionic setting ⋮ Noncommutative ball maps ⋮ Nevanlinna representations in several variables

Cites Work

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