Mortini, Raymond, Rupp, Rudolf and Sasane, Amol J.
(2010)
*Matricial topological ranks for two algebras of bounded holomorphic functions.*
Linear and Multilinear Algebra, 58 (6).
pp. 741-752.
ISSN 0308-1087

## Abstract

Let N and D be two matrices over the algebra H ∞ of bounded analytic functions in the disk, or its real counterpart . Suppose that N and D have the same number n of columns. In a generalization of the notion of topological stable rank 2, it is shown that N and D can be approximated (in the operator norm) by two matrices Ñ and , so that the Aryabhatta–Bezout equation admits a solution. This has particular interesting consequences in systems theory. Moreover, in case that N is a square matrix, X can be chosen to be invertible in the case of the algebra H ∞, but not always in the case of .

Item Type: | Article |
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Official URL: | http://www.tandf.co.uk/journals/LAMA |

Additional Information: | © 2010 Taylor & Francis |

Divisions: | Mathematics |

Subjects: | Q Science > QA Mathematics |

Date Deposited: | 28 Jul 2011 09:24 |

Last Modified: | 20 Oct 2021 01:50 |

URI: | http://eprints.lse.ac.uk/id/eprint/37647 |

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