| Article ID | Journal | Published Year | Pages | File Type |
|---|---|---|---|---|
| 4602306 | Linear Algebra and its Applications | 2010 | 5 Pages |
Abstract
Let m and k be two fixed positive integers such that m>kā©¾2. Let V be a left vector space over a division ring with dimension at least m+k+1. Let Gm(V) be the Grassmannian consisting of all m-dimensional subspaces of V. We characterize surjective mappings T from Gm(V) onto itself such that for any A,B in Gm(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.
Related Topics
Physical Sciences and Engineering
Mathematics
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