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Journal article
Committee Spaces and the Random Column-Row Property
Complex analysis and operator theory, v 14(1), 13
01 Feb 2020
Abstract
A committee space is a Hilbert space of power series, perhaps in several or noncommuting variables, such that ||z alpha|||z beta||>=||z alpha+beta||. Such a space satisfies the true column-row property when ever the map transposing a column multiplier to a row multiplier is contractive. We describe a model for random multipliers and show that such random multipliers satisfy the true column-row property. We also show that the column-row property holds asymptotically for large random Nevanlinna-Pick interpolation problems where the nodes are chosen identically and independently. These results suggest that finding a violation of the true column-row property for the Drury-Arveson space via naive random search is unlikely.
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Details
- Title
- Committee Spaces and the Random Column-Row Property
- Creators
- J. E. Pascoe - University of Florida
- Publication Details
- Complex analysis and operator theory, v 14(1), 13
- Publisher
- Springer Nature
- Number of pages
- 10
- Resource Type
- Journal article
- Language
- English
- Academic Unit
- Mathematics
- Web of Science ID
- WOS:000514346100003
- Scopus ID
- 2-s2.0-85078195904
- Other Identifier
- 991021879624504721
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Data related to this publication, from InCites Benchmarking & Analytics tool:
- Web of Science research areas
- Mathematics
- Mathematics, Applied