Distance from projections To nilpotents
Description
Citation
| Title | Distance from projections To nilpotents |
| Author(s) | G. MacDonald |
| Journal | Canadian Journal of Mathematics - Journal Canadien de Mathematiques |
| Date | 1995 |
| Volume | 47 |
| Issue | 4 |
| Start page | 841 |
| End page | 851 |
| Abstract | The distance from an arbitrary rank-one projection to the set of nilpotent operators, in the space of k x k matrices with the usual operator norm, is shown to be sec(pi/(k+2))/2. This gives improved bounds for the distance between the set of all non-zero projections and the set of nilpotents in the space of k x k matrices. Another result of note is that the shortest distance between the set of non-zero projections and the set of nilpotents in the space of 3 x 3 matrices is root(3-root 5)/2. |
| ISSN | 0008-414X |
Using APA 6th Edition citation style.
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