English

Absolutely Flat Idempotents

Operator Algebras 2007-05-23 v1

Abstract

A real nn-by-nn idempotent matrix AA with all entries having the same absolute value is called {\it absolutely flat}. We consider the possible ranks of such matrices and herein characterize the triples: size, constant, and rank for which such a matrix exists. Possible inequivalent examples of such matrices are also discussed.

Keywords

Cite

@article{arxiv.math/0504572,
  title  = {Absolutely Flat Idempotents},
  author = {Jonathan M. Groves and Yonatan Harel and Christopher J. Hillar and Charles R. Johnson and Patrick X. Rault},
  journal= {arXiv preprint arXiv:math/0504572},
  year   = {2007}
}

Comments

11 pages, Electronic Journal of Linear Algebra