Journal article
Contractive completions of Hankel partial contractions
Journal of mathematical analysis and applications, Vol.203(2), pp.303-332
1996
DOI: 10.1006/jmaa.1996.0382
Abstract
A Hankel partial contraction is a Hankel matrix such that not all of its entries are determined, but in which every well-defined submatrix is a contraction. We address the problem of whether a Hankel partial contraction in which the upper left triangle is known can be completed to a contraction. It is known that the 2×2 and 3×3 cases can be solved, and that 4×4 Hankel partial contractions cannot always be completed. We introduce a technique that allows us to exhibit concrete examples of such 4×4 matrices, and to analyze in detail the dependence of the solution set on the given data. At the same time, we obtain necessary and sufficient conditions on the given cross-diagonals in order for the matrix to be completed. We also study the problem of extending a contractive Hankel block of size n to one of size n +1.
Details
- Title: Subtitle
- Contractive completions of Hankel partial contractions
- Creators
- Raúl CurtoCarlos HernándezElena De Oteyza
- Resource Type
- Journal article
- Publication Details
- Journal of mathematical analysis and applications, Vol.203(2), pp.303-332
- DOI
- 10.1006/jmaa.1996.0382
- ISSN
- 0022-247X
- eISSN
- 1096-0813
- Language
- English
- Date published
- 1996
- Academic Unit
- Mathematics
- Record Identifier
- 9983985702402771
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