Lim, M.H. (2010) Surjections on grassmannians preserving pairs of elements with bounded distance. Linear Algebra and its Applications, 432 (7). pp. 1703-1707.
Full text not available from this repository.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 |
|---|---|
| Funders: | UNSPECIFIED |
| Subjects: | Q Science > Q Science (General) |
| Depositing User: | Dr Mohd Faizal Hamzah |
| 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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