Absolutely Flat Idempotents

Details Absolutely Flat Idempotents Absolutely Flat Idempotents

2005-04-28

arxiv.org/abs/math/0504572v1

Mathematics

Operator Algebras

11 pages, Electronic Journal of Linear Algebra

Scientific paper

A real $n$-by-$n$ idempotent matrix $A$ 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.

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