Surjections on grassmannians preserving pairs of elements with bounded distance

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

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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: 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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