Lim, M.H.
(2010)
*Surjections on grassmannians preserving pairs of elements with bounded distance.*
Linear Algebra and its Applications, 432 (7).
pp. 1703-1707.

## Abstract

Let m and k be two fixed positive integers such that m > k >= 2. Let V be a left vector space over a division ring with dimension at least m + k + 1. Let G(m) (V) be the Grassmannian consisting of all m-dimensional subspaces of V. We characterize surjective mappings T from g, (V) onto itself such that for any A, B in 9,,(V), the distance between A and B is not greater than k if and only if the distance between T(A) and T(B) is not greater than k. (C) 2009 Elsevier Inc. All rights reserved.

Item Type: | Article |
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Funders: | UNSPECIFIED |

Subjects: | Q Science > Q Science (General) |

Depositing User: | MR Faizal II H |

Date Deposited: | 01 Dec 2015 00:37 |

Last Modified: | 01 Dec 2015 00:37 |

URI: | http://eprints.um.edu.my/id/eprint/14980 |

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