Commuting Nilpotent Operators and Maximal Rank
Complex Analysis and Operator Theory, ISSN: 1661-8254, Vol: 4, Issue: 4, Page: 901-904
2010
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Article Description
Let X, X̃ be commuting nilpotent matrices over k with nilpotency p, where k is an algebraically closed field of positive characteristic p. We show that if X, X̃ is a certain linear combination of products of pairwise commuting nilpotent matrices, then X is of maximal rank if and only if X̃ is of maximal rank. © 2009 Birkhäuser Verlag Basel/Switzerland.
Bibliographic Details
http://www.scopus.com/inward/record.url?partnerID=HzOxMe3b&scp=79952068446&origin=inward; http://dx.doi.org/10.1007/s11785-009-0029-x; http://link.springer.com/10.1007/s11785-009-0029-x; http://link.springer.com/content/pdf/10.1007/s11785-009-0029-x; http://link.springer.com/content/pdf/10.1007/s11785-009-0029-x.pdf; http://link.springer.com/article/10.1007/s11785-009-0029-x/fulltext.html; http://www.springerlink.com/index/10.1007/s11785-009-0029-x; http://www.springerlink.com/index/pdf/10.1007/s11785-009-0029-x; https://dx.doi.org/10.1007/s11785-009-0029-x; https://link.springer.com/article/10.1007/s11785-009-0029-x
Springer Science and Business Media LLC
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