Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4590712 | Journal of Functional Analysis | 2013 | 13 Pages |
Abstract
Let HH be a complex Hilbert space, n a given positive integer and let Pn(H)Pn(H) be the set of all projections on HH with rank n . Under the condition dimH⩾4n, we describe the surjective isometries of Pn(H)Pn(H) with respect to the gap metric (the metric induced by the operator norm).
Keywords
Related Topics
Physical Sciences and Engineering
Mathematics
Algebra and Number Theory
Authors
Fernanda Botelho, James Jamison, Lajos Molnár,