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Products of idempotent linear transformations

Published online by Cambridge University Press:  14 November 2011

M. A. Reynolds  and
R. P. Sullivan
M. A. Reynolds
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Australia6009
R. P. Sullivan
Affiliation:
Department of Mathematics, University of Western Australia, Nedlands, Australia6009
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Synopsis

In 1966, J. M. Howie characterised the transformations of an arbitrary set that can be written as a product (under composition) of idempotent transformations of the same set. In 1967, J. A. Erdos considered the analogous problem for linear transformations of a finite-dimensional vector space and in 1983, R. J. Dawlings investigated the corresponding idea for bounded operators on a separable Hilbert space. In this paper we study the case of arbitrary vector spaces.

Type
Research Article
Information
Proceedings of the Royal Society of Edinburgh Section A: Mathematics , Volume 100 , Issue 1-2 , 1985 , pp. 123 - 138
Copyright
Copyright © Royal Society of Edinburgh 1985

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