International Journal of Mathematics and Mathematical Sciences
Volume 2006 (2006), Article ID 76135, 13 pages
doi:10.1155/IJMMS/2006/76135

Lower bounds for some factorable matrices

B. E. Rhoades1 and Pali Sen2

1Department of Mathematics, Indiana University, Bloomington 47405-7106, IN, USA
2Department of Mathematics and Statistics, University of North Florida, Jacksonville 32224, FL, USA

Received 8 March 2006; Revised 6 June 2006; Accepted 22 June 2006

Copyright © 2006 B. E. Rhoades and Pali Sen. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

We determine the lower bounds for classes of Rhaly matrices, considered as bounded linear operators on ℓp. We improve on and provide correct proofs of the results of the first author (1990).