Journal article

Publication year: 2006

Pages: 1-10

Journal: Linear Algebra and its Applications

Volume number: 418

Issue number: 1

ISSN: 0024-3795

eISSN: 1873-1856

Open access status: Bronze

DOI Link: https://doi.org/10.1016/j.laa.2006.01.010

Publisher: Elsevier

Abstract: 
The Rado-Horn Theorem gives a characterization of those sets of vectors which can be written as the union of a fixed number of linearly independent sets. In this paper, we study the redundant case. We show that then the span of the vectors can be written as the direct sum of a subspace which directly fails the Rado-Horn criteria and a subspace for which the Rado-Horn criteria hold. As a corollary, we characterize those sets of vectors, which, after the deletion of a fixed number of vectors, can be written as the finite union of linearly independent sets. (c) 2006 Elsevier Inc. All rights reserved.

Harvard Citation style: Casazza, P., Kutyniok, G. and Speegle, D. (2006) A redundant version of the Rado-Horn Theorem, Linear Algebra and its Applications, 418(1), pp. 1-10. https://doi.org/10.1016/j.laa.2006.01.010

APA Citation style: Casazza, P., Kutyniok, G., & Speegle, D. (2006). A redundant version of the Rado-Horn Theorem. Linear Algebra and its Applications. 418(1), 1-10. https://doi.org/10.1016/j.laa.2006.01.010