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Products of idempotent linear transformations
- Source :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics. 100:123-138
- Publication Year :
- 1985
- Publisher :
- Cambridge University Press (CUP), 1985.
-
Abstract
- SynopsisIn 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.
Details
- ISSN :
- 14737124 and 03082105
- Volume :
- 100
- Database :
- OpenAIRE
- Journal :
- Proceedings of the Royal Society of Edinburgh: Section A Mathematics
- Accession number :
- edsair.doi...........1a3fe1d6ed4e638ab8d3c649db60e600