76
Views
0
CrossRef citations to date
0
Altmetric
Original Articles

Bases of spaces of matrices satisfying rank conditions

Pages 625-631 | Received 21 May 2007, Accepted 09 Jun 2008, Published online: 13 Jul 2009

References

  • Adams , JF , Lax , P and Phillips , R . 1965 . On matrices whose real linear combinations are non-singular . Proc. Amer. Math. Soc. , 16 : 318 – 322 .
  • Bergman , GM . 1969 . Ranks of tensors and change of base field . J. Alg. , 11 : 613 – 621 .
  • Falikman , D , Friedland , S and Loewy , R . 2002 . On spaces of matrices containing a nonzero matrix of bounded rank . Pacific J. Math. , 207 : 157 – 176 .
  • Friedland , S and Krattenhaler , C . 2007 . 2-Addic valuations of certain ratios of products of factorials and applications . Linear Alg. Appl. , 426 : 159 – 189 .
  • Handel , D . 1970 . On subspaces of tensor products containing no elements of rank one . J. Alg. , 14 : 523 – 527 .
  • Hurwitz , A . 1923 . Über der Komposition der Quadratischer Formen . Math. And. , 88 : 1 – 25 .
  • James , IM . 1972 . “ Two Problems Studied by Heinz Hopf ” . In Lectures on Algebraic and Differential Topology, LNM , Vol. 279 , Berlin : Springer-Verlag .
  • Lang , S . 1999 . Algebra , 3rd , Reading, Massachusetts : Addison-Wesley .
  • Petrović , ZZ . 1996 . On spaces of matrices satisfying some rank conditions, Ph.D. thesis , USA, MD : The John Hopkins University .
  • Shapiro , DB . 2000 . “ Compositions of Quadratic Forms ” . In De Gruyter Expositions in Mathematics , Vol. 33 , Berlin : Walter de Gruyter .

Reprints and Corporate Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

To request a reprint or corporate permissions for this article, please click on the relevant link below:

Academic Permissions

Please note: Selecting permissions does not provide access to the full text of the article, please see our help page How do I view content?

Obtain permissions instantly via Rightslink by clicking on the button below:

If you are unable to obtain permissions via Rightslink, please complete and submit this Permissions form. For more information, please visit our Permissions help page.