Journal article
Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications
Journal of mathematical analysis and applications, v 492(2), 124457
15 Dec 2020
Abstract
We provide an effective single-matrix criterion, in terms of what we call the elementary Pick matrix, for the solvability of the noncommutative Nevanlinna-Pick interpolation problem in the row ball, and provide some applications. In particular we show that the so-called “column-row property” fails for the free semigroup algebras, in stark contrast to the analogous commutative case. Additional applications of the elementary Pick matrix include a local dilation theorem for matrix row contractions and interpolating sequences in the noncommutative setting. Finally we present some numerical results related to the failure of the column-row property.
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Details
- Title
- Effective noncommutative Nevanlinna-Pick interpolation in the row ball, and applications
- Creators
- Meric Augat - Washington University in St. LouisMichael T. Jury - University of FloridaJames Eldred Pascoe - University of Florida
- Publication Details
- Journal of mathematical analysis and applications, v 492(2), 124457
- Publisher
- Elsevier
- Grant note
- DMS-1900364 / NSF (https://doi.org/10.13039/100000001)
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000567811700030
- Scopus ID
- 2-s2.0-85089250545
- Other Identifier
- 991021879629704721
InCites Highlights
Data related to this publication, from InCites Benchmarking & Analytics tool:
- Collaboration types
- Domestic collaboration
- Web of Science research areas
- Mathematics
- Mathematics, Applied