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http://hdl.handle.net/11154/2929
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Title: | Contractive completions of Hankel partial contractions |
Authors: | Curto, R deOteyza, E Hernández, C |
Issue Date: | 1996 |
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 x 2 and 3 x 3 cases can be solved, and that 4 x 4 Hankel partial contractions cannot always be completed. We introduce a technique that allows us to exhibit concrete examples of such 4 x 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. (C) 1996 Academic Press, Inc. |
URI: | http://hdl.handle.net/11154/2929 |
ISSN: | 0022-247X |
Appears in Collections: | Ciencias
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