Original Articles

ON THE REPRESENTABILITY OF VECTOR SPACE ENDOMORPHISMS BY PROJECTIONS

Published in: Quaestiones Mathematicae
Volume 12 , issue 2 , 1989 , pages: 141–147

DOI: 10.1080/16073606.1989.9632171

Author(s): G. HEIMBECK Department of Mathematics, SWA/Namibia

Keywords: 15A04

Abstract

It is shown that an endomorphism u of any vector space V of dimension ≥ 22 can be made up from four projections except when V is of finite odd dimension and α is an automorphism. In the latter case a representation of α by six projections is feasible.

« THE LIE ALGEBRA sl(3, R) AND LINEARIZATION

A RADON-NIKODYM THEOREM FOR RIESZ SPACE VALUED MEASURES »